Brandon Carter

Fields In Nonaffine Bundles II. Gauge coupled generalization of harmonic mappings and their Bunting identities (2009)

Carter, Brandon

The general purpose bitensorially gauge-covariant differentiation procedure set up in the preceding article is specialised to the particular case of bundles with nonlinear fibres that are endowed...

Fields in Nonaffine Bundles. I. The general bitensorially covariant differentiation procedure (2009)

Carter, Brandon

The standard covariant differentiation procedure for fields in vector bundles is generalised so as to be applicable to fields in general nonaffine bundles in which the fibres may have an arbitrary...

The logarithmic equation of state for superconducting cosmic strings (2008)

Hartmann, Betti, Carter, Brandon

This investigation follows up the suggestion that the equation of state for superconducting cosmic strings provided by Witten's prototype biscalar field model can be well represented by an effective...

Five or six step scenario for evolution? (2007)

Carter, Brandon

The prediction that (due to the limited amount of hydrogen available as fuel in the Sun) the future duration of our favourable terrestrial environment will be short (compared with the present age of...

The significance of numerical coincidences in nature (2007)

Carter, Brandon

This is the first part of a survey whose ultimate purpose is to clarify the significance of the famous coincidence between the Hubble age of the universe and a certain combination of microphysical...

Objective and subjective time in anthropic reasoning (2007)

Carter, Brandon

The original formulation of the (weak) anthropic principle was prompted by a question about objective time at a macroscopic level, namely the age of the universe when ``anthropic'' observers such as...

Mechanics of cosmic rings (2007)

Carter, Brandon

In a flat background, simple non-conducting string loops have no strictly stationary equilibrium states, but for cosmic string loops of superconducting kind such ``vorton'' states will exist, with...

Frozen rigging model of the energy dominated universe (2007)

Carter, Brandon

Composite rigging systems, involving membranes that meet on strings that meet on monopoles, arise naturally by the Kibble mechanism as topological defects in field theories involving spontaneous...

Symplectic Structure in Brane Mechanics (2007)

Carter, Brandon

This article treats the generalisation to brane dynamics of the covariant canonical variational procedure leading to the construction of a conserved bilinear symplectic current in the manner...

Quasi gravity in branes (2007)

Carter, Brandon

In contrast with pseudo-gravitational effects that are mathematically analogous but physically quite distinct from gravity, this presentation deals with a kind of quasi-gravitational effect that can...

Dilatonic formulation for conducting cosmic string models (2007)

Carter, Brandon

It is shown how the the introduction of a suitably defined dilatonic auxiliary field, $\Phi$ say, makes it possible for the non-linear Lagrangian for a generic elastic string model, of the kind...

Cancellation of linearised axion-dilaton self interaction divergence in strings (2007)

Carter, Brandon

The force densities exerted on a localised material system by linearised interaction with fields of axionic and dilatonic type are shown to be describable very generally by relatively simple...

Cold, warm, and composite (cool) cosmic string models (2007)

Carter, Brandon

The dynamical behaviour of a cosmic string is strongly affected by any reduction of the effective string tension $T$ below the constant value $T=m^2$ say that characterizes the simple, longitudinally...

Dynamical instability criterion for circular (vorton) string loops (2007)

Carter, Brandon, Martin, Xavier

Dynamic perturbation equations are derived for a generic stationary state of an elastic string model -- of the kind appropriate for representing a superconducting cosmic string -- in a flat...

Micro-Anthropic Principle for Quantum theory (2007)

Carter, Brandon

Probabilistic models (developped by workers such as Boltzmann, on foundations due to pioneers such as Bayes) were commonly regarded merely as approximations to a deterministic reality before the...

Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: simple microscopic models (2007)

Carter, Brandon, Chamel, Nicolas, Haensel, Pawel

In the inner crust of a neutron star, at densities above the ``drip'' threshold, unbound ``conduction'' neutrons can move freely past through the ionic lattice formed by the nuclei. The relative...

Mechanics and Equilibrium Geometry of Black Holes, Membranes, and Strings (2007)

Carter, Brandon

This course is designed to give a mathematically coherent introduction to the classical thory of black holes and also of strings and membranes (which are like the horizon of a black hole in being...

Anthropic interpretation of quantum theory (2007)

Carter, Brandon

The problem of interpreting quantum theory on a large (e.g. cosmological) scale has been commonly conceived as a search for objective reality in a framework that is fundamentally probabilistic. The...

Energy dominance and the Hawking Ellis vacuum conservation theorem (2007)

Carter, Brandon

At a time when uninhibited speculation about negative tension -- and by implication negative mass density -- world branes has become commonplace, it seems worthwhile to call attention to the risk...

Reflection symmetry breaking scenarios with minimal gauge form coupling in brane world cosmology (2007)

Carter, Brandon, Uzan, Jean-Philippe

This article synthesises and extends recent work on the cosmological consequences of dropping the usual Z_2 reflection symmetry postulate in brane world scenarios. It is observed that for a...

Essentials of Classical Brane Dynamics (2007)

Carter, Brandon

This article provides a self contained overview of the geometry and dynamics of relativistic brane models, of the category that includes point particle, string, and membrane representations for...

Anthropic principle in cosmology (2006)

Carter, Brandon

A brief explanation of the meaning of the anthropic principle - as a prescription for the attribution of a priori probability weighting - is illustrated by various cosmological and local...

Relativistic mechanics of neutron superfluid in (magneto) elastic star crust (2006)

Carter, Brandon, Samuelsson, Lars

At densities below the neutron drip threshold, a purely elastic solid model (including, if necessary, a frozen-in magnetic field) can provide an adequate description of a neutron star crust, but at...

Stability of winding cosmic wall lattices with X type junctions (2006)

Carter, Brandon

This work confirms the stability of a class of domain wall lattice models that can produce accelerated cosmological expansion, with pressure to density ratio $w=-1/3$ at early times, and with...

Poly-essential and general Hyperelastic World (brane) models (2006)

Carter, Brandon

This article provides a unified treatment of an extensive category of non-linear classical field models whereby the universe is represented (perhaps as a brane in a higher dimensional background) in...

Half century of black-hole theory: from physicists' purgatory to mathematicians' paradise (2006)

Carter, Brandon

Although implicit in the discovery of the Schwarzschild solution 40 years earlier, the issues raised by the theory of what are now known as black holes were so unsettling to physicists of Einstein's...

Newtonian mechanics of neutron superfluid in elastic star crust (2006)

Carter, Brandon, Chachoua, Elie

To account for pulsar frequency glitches, it is necessary to use a neutron star crust model allowing not only for neutron superfluidity but also for elastic solidity. These features have been treated...

Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: II Macroscopic treatment (2005)

Carter, Brandon, Chamel, Nicolas, Haensel, Pawel

Phenomena such as pulsar frequency glitches are believed to be explicable in terms of a differentially rotating current of ``free'' superfluid neutrons at densities above the ``drip'' threshold in...

Covariant analysis of Newtonian multi-fluid models for neutron stars: III Transvective, viscous, and superfluid drag dissipation (2005)

Carter, Brandon, Chamel, Nicolas

As a follow up to articles dealing firstly with a convective variational formulation in a Milne-Cartan framework for non-dissipative multi fluid models, and secondly with various ensuing stress...

Covariant analysis of Newtonian multi-fluid models for neutron stars: II Stress - energy tensors and virial theorems (2005)

Carter, Brandon, Chamel, Nicolas

The 4-dimensionally covariant approach to multiconstituent Newtonian fluid dynamics presented in the preceding article of this series is developed by construction of the relevant 4-dimensional stress...

Covariant analysis of Newtonian multi-fluid models for neutron stars: I Milne-Cartan structure and variational formulation (2005)

Carter, Brandon, Chamel, Nicolas

This is the first of a series of articles showing how 4 dimensionally covariant analytical procedures developed in the context of General Relativity can be usefully adapted for application in a...

Generalised mass variation formula for a stationary axisymmetric star or black hole with surrounding accretion disc (2005)

Carter, Brandon

The general relativistic mass-energy variation formula for axisymmetric equilibrium states of a selfgravitating system is developed in the particular case for which the relevant matter consists of a...

Relativistic superfluid models for rotating neutron stars (2005)

Carter, Brandon

This article starts by providing an introductory overview of the theoretical mechanics of rotating neutron stars as developped to account for the frequency variations, and particularly the...

Superconducting Superfluids in Neutron Stars (2005)

Carter, Brandon

For treatment of the layers below the crust of a neutron star it is useful to employ a relativistic model involving three independently moving constituents, representing superfluid neutrons,...

Centrifugal buoyancy as a mechanism for neutron star glitches (2005)

Carter, Brandon, Langlois, David, Sedrakian, David M.

The frequent glitches (sudden increases of the apparent angular velocity) observed in certain pulsars are generally believed to be attributable to discontinuous angular momentum transfer to the outer...

Covariant Newtonian and Relativistic dynamics of (magneto)-elastic solid model for neutron star crust (2005)

Carter, Brandon, Chachoua, Elie, Chamel, Nicolas

This work develops the dynamics of perfectly elastic solid model for application to the outer crust of a magnetised neutron star. Particular attention is given to the Noether identities responsible...

Micro-Anthropic Principle for Quantum theory (2005)

Carter, Brandon

Probabilistic models (developped by workers such as Boltzmann, on foundations due to pioneers such as Bayes) were commonly regarded merely as approximations to a deterministic reality before the...

Effect of entrainment on stress and pulsar glitches in neutron star crust (2005)

Chamel, Nicolas, Carter, Brandon

The build up of the stress whose relaxation is presumed to account for pulsar frequency glitches can be attributed to various mechanisms, of which the most efficient involve differential rotation of...

Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: II Macroscopic treatment (2005)

Carter, Brandon, Chamel, Nicolas, Haensel, Pawel

Phenomena such as pulsar frequency glitches are believed to be explicable in terms of a differentially rotating current of ``free'' superfluid neutrons at densities above the ``drip'' threshold in...

Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: II Macroscopic treatment (2005)

Carter, Brandon, Chamel, Nicolas, Haensel, Pawel

Phenomena such as pulsar frequency glitches are believed to be explicable in terms of a differentially rotating current of ``free'' superfluid neutrons at densities above the ``drip'' threshold in...

Frozen rigging model of the energy dominated universe (2004)

Carter, Brandon

Composite rigging systems, involving membranes that meet on strings that meet on monopoles, arise naturally by the Kibble mechanism as topological defects in field theories involving spontaneous...

Linearized self-forces for branes (2004)

Battye, Richard A., Carter, Brandon, Mennim, Andrew

We compute the regularized force density and renormalized action due to fields of external origin coupled to a brane of arbitrary dimension in a spacetime of any dimension. Specifically, we consider...

Mechanics and Equilibrium Geometry of Black Holes, Membranes, and Strings (2004)

Carter, Brandon

This course is designed to give a mathematically coherent introduction to the classical thory of black holes and also of strings and membranes (which are like the horizon of a black hole in being...

Covariant analysis of Newtonian multi-fluid models for neutron stars: III Transvective, viscous, and superfluid drag dissipation (2004)

Carter, Brandon, Chamel, Nicolas

As a follow up to articles dealing firstly with a convective variational formulation in a Milne-Cartan framework for non-dissipative multi fluid models, and secondly with various ensuing stress...

Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: II Macroscopic treatment (2004)

Carter, Brandon, Chamel, Nicolas, Haensel, Pawel

Phenomena such as pulsar frequency glitches are believed to be attributable to differential rotation of a current of ``free'' superfluid neutrons at densities above the ``drip'' threshold in the...

Effect of BCS pairing on entrainment in neutron superfluid current in neutron star crust (2004)

Carter, Brandon, Chamel, Nicolas, Haensel, Pawel

The relative current density $n^i$ of conduction neutrons in a neutron star crust beyond the neutron drip threshold can be expected to be related to the corresponding particle momentum covector $p_i$...

Anthropic interpretation of quantum theory (2004)

Carter, Brandon

The problem of interpreting quantum theory on a large (e.g. cosmological) scale has been commonly conceived as a search for objective reality in a framework that is fundamentally probabilistic. The...

Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: simple microscopic models (2004)

Carter, Brandon, Chamel, Nicolas, Haensel, Pawel

In the inner crust of a neutron star, at densities above the ``drip'' threshold, unbound ``conduction'' neutrons can move freely past through the ionic lattice formed by the nuclei. The relative...

Covariant analysis of Newtonian multi-fluid models for neutron stars: III Transvective, viscous, and superfluid drag dissipation (2004)

Carter, Brandon, Chamel, Nicolas

As a follow up to articles dealing firstly with a convective variational formulation in a Milne-Cartan framework for non-dissipative multi fluid models, and secondly with various ensuing stress...

Covariant analysis of Newtonian multi-fluid models for neutron stars: III Transvective, viscous, and superfluid drag dissipation (2004)

Carter, Brandon, Chamel, Nicolas

As a follow up to articles dealing firstly with a convective variational formulation in a Milne-Cartan framework for non-dissipative multi fluid models, and secondly with various ensuing stress...

Dynamical instability criterion for circular (vorton) string loops (2003)

Carter, Brandon, Martin, Xavier

Dynamic perturbation equations are derived for a generic stationary state of an elastic string model -- of the kind appropriate for representing a superconducting cosmic string -- in a flat...

Covariant analysis of Newtonian multi-fluid models for neutron stars: I Milne-Cartan structure and variational formulation (2003)

Carter, Brandon, Chamel, Nicolas

This is the first of a series of articles showing how 4 dimensionally covariant analytical procedures developed in the context of General Relativity can be usefully adapted for application in a...

Symplectic Structure in Brane Mechanics (2003)

Carter, Brandon

This article treats the generalisation to brane dynamics of the covariant canonical variational procedure leading to the construction of a conserved bilinear symplectic current in the manner...

Covariant analysis of Newtonian multi-fluid models for neutron stars: II Stress - energy tensors and virial theorems (2003)

Carter, Brandon, Chamel, Nicolas

The 4-dimensionally covariant approach to multiconstituent Newtonian fluid dynamics presented in the preceding article of this series is developed by construction of the relevant 4-dimensional stress...

Covariant analysis of Newtonian multi-fluid models for neutron stars: I Milne-Cartan structure and variational formulation (2003)

Carter, Brandon, Chamel, Nicolas

This is the first of a series of articles showing how 4 dimensionally covariant analytical procedures developed in the context of General Relativity can be usefully adapted for application in a...

Covariant analysis of Newtonian multi-fluid models for neutron stars: II Stress - energy tensors and virial theorems (2003)

Carter, Brandon, Chamel, Nicolas

The 4-dimensionally covariant approach to multiconstituent Newtonian fluid dynamics presented in the preceding article of this series is developed by construction of the relevant 4-dimensional stress...

Covariant analysis of Newtonian multi-fluid models for neutron stars: I Milne-Cartan structure and variational formulation (2003)

Carter, Brandon, Chamel, Nicolas

This is the first of a series of articles showing how 4 dimensionally covariant analytical procedures developed in the context of General Relativity can be usefully adapted for application in a...

Cold, warm, and composite (cool) cosmic string models (2002)

Carter, Brandon

The dynamical behaviour of a cosmic string is strongly affected by any reduction of the effective string tension $T$ below the constant value $T=m^2$ say that characterizes the simple, longitudinally...

Generalised mass variation formula for a stationary axisymmetric star or black hole with surrounding accretion disc (2002)

Carter, Brandon

The general relativistic mass-energy variation formula for axisymmetric equilibrium states of a selfgravitating system is developed in the particular case for which the relevant matter consists of a...

Energy dominance and the Hawking Ellis vacuum conservation theorem (2002)

Carter, Brandon

At a time when uninhibited speculation about negative tension -- and by implication negative mass density -- world branes has become commonplace, it seems worthwhile to call attention to the risk...

Gradient formula for linearly self-interacting branes (2002)

Carter, Brandon, Battye, Richard A., Uzan, Jean-Philippe

The computation of long range linear self-interaction forces in string and higher dimensional brane models requires the evaluation of the gradients of regularised values of divergent self-interaction...

Microwave Background Constraints on Decaying Defects (2002)

Brandenberger, Robert H., Carter, Brandon, Davis, Anne-Christine

Embedded defects are predicted in a host of particle physics theories, in particular in the standard electroweak theory. They can be stabilized by interactions with the cosmological plasma, but will...

Thermal Stabilisation of Superconducting Sigma Strings and their Drum Vortons (2002)

Carter, Brandon, Brandenberger, Robert H., Davis, Anne-Christine

We discuss various issues related to stabilized embedded strings in a thermal background. In particular, we demonstrate that such strings will generically become superconducting at moderately low...

Generalised mass variation formula for a stationary axisymmetric star or black hole with surrounding accretion disc (2002)

Carter, Brandon

The general relativistic mass-energy variation formula for axisymmetric equilibrium states of a selfgravitating system is developed in the particular case for which the relevant matter consists of a...

Generalised mass variation formula for a stationary axisymmetric star or black hole with surrounding accretion disc (2002)

Carter, Brandon

The general relativistic mass-energy variation formula for axisymmetric equilibrium states of a selfgravitating system is developed in the particular case for which the relevant matter consists of a...

Relativistic solution of Lordanskii problem in multi-constituent superfluid mechanics Context Sensitive Links (2002)

Prix, Reinhard, Carter, Brandon, Langlois, David

Flow past a line vortex in a simple perfect fluid or superfluid gives rise to a transverse Magnus force that is given by the well known Joukowski lift formula. The problem of generalising this to...

Simulated gravity without true gravity in asymmetric brane-world scenarios (2001)

Carter, Brandon, Uzan, Jean-Philippe, Battye, Richard A., Mennim, Andrew

This article investigates asymmetric brane-world scenarios in the limit when the bulk gravity is negligible. We show that, even when true self gravity is negligible, local mass concentrations will be...

Quasi gravity in branes (2001)

Carter, Brandon

In contrast with pseudo-gravitational effects that are mathematically analogous but physically quite distinct from gravity, this presentation deals with a kind of quasi-gravitational effect that can...

Einstein equations for an asymmetric brane-world (2001)

Battye, Richard A., Carter, Brandon, Mennim, Andrew, Uzan, Jean-Philippe

We consider a brane-world of co-dimension one without the reflection symmetry that is commonly imposed between the two sides of the brane. Using the coordinate-free formalism of the Gauss-Codacci...

Relativistic solution of Iordanskii problem in multi-constituent superfluid mechanics (2001)

Carter, Brandon, Langlois, David, Prix, Reinhard

Flow past a line vortex in a simple perfect fluid or superfluid gives rise to a transverse Magnus force that is given by the well known Joukowski lift formula. The problem of generalising this to...

Relativistic superfluid models for rotating neutron stars (2001)

Carter, Brandon

This article starts by providing an introductory overview of the theoretical mechanics of rotating neutron stars as developped to account for the frequency variations, and particularly the...

Reflection symmetry breaking scenarios with minimal gauge form coupling in brane world cosmology (2001)

Carter, Brandon, Uzan, Jean-Philippe

This article synthesises and extends recent work on the cosmological consequences of dropping the usual Z_2 reflection symmetry postulate in brane world scenarios. It is observed that for a...

Relativistic superfluid models for rotating neutron stars (2001)

Carter, Brandon

This article starts by providing an introductory overview of the theoretical mechanics of rotating neutron stars as developped to account for the frequency variations, and particularly the...

Relativistic superfluid models for rotating neutron stars (2001)

Carter, Brandon

This article starts by providing an introductory overview of the theoretical mechanics of rotating neutron stars as developped to account for the frequency variations, and particularly the...

Essentials of Classical Brane Dynamics (2000)

Carter, Brandon

This article provides a self contained overview of the geometry and dynamics of relativistic brane models, of the category that includes point particle, string, and membrane representations for...

Superconducting Superfluids in Neutron Stars (2000)

Carter, Brandon

For treatment of the layers below the crust of a neutron star it is useful to employ a relativistic model involving three independently moving constituents, representing superfluid neutrons,...

Centrifugal buoyancy as a mechanism for neutron star glitches (2000)

Carter, Brandon, Langlois, David, Sedrakian, David M.

The frequent glitches (sudden increases of the apparent angular velocity) observed in certain pulsars are generally believed to be attributable to discontinuous angular momentum transfer to the outer...

Dilatonic formulation for conducting cosmic string models (2000)

Carter, Brandon

It is shown how the the introduction of a suitably defined dilatonic auxiliary field, $\Phi$ say, makes it possible for the non-linear Lagrangian for a generic elastic string model, of the kind...

Cancellation of linearised axion-dilaton self interaction divergence in strings (2000)

Carter, Brandon

The force densities exerted on a localised material system by linearised interaction with fields of axionic and dilatonic type are shown to be describable very generally by relatively simple...

Superconducting Superfluids in Neutron Stars (2000)

Carter, Brandon

For treatment of the layers below the crust of a neutron star it is useful to employ a relativistic model involving three independently moving constituents, representing superfluid neutrons,...

Centrifugal buoyancy as a mechanism for neutron star glitches (2000)

Carter, Brandon, Langlois, David, Sedrakian, David M.

The frequent glitches (sudden increases of the apparent angular velocity) observed in certain pulsars are generally believed to be attributable to discontinuous angular momentum transfer to the outer...

Superconducting Superfluids in Neutron Stars (2000)

Carter, Brandon

For treatment of the layers below the crust of a neutron star it is useful to employ a relativistic model involving three independently moving constituents, representing superfluid neutrons,...

Centrifugal buoyancy as a mechanism for neutron star glitches (2000)

Carter, Brandon, Langlois, David, Sedrakian, David M.

The frequent glitches (sudden increases of the apparent angular velocity) observed in certain pulsars are generally believed to be attributable to discontinuous angular momentum transfer to the outer...

Bogomol’nyi limit for magnetic vortices in a rotating superconductor (2000)

Prix, Reinhard, Carter, Brandon, Langlois, David

This work is the sequel to a previous investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible nonrelativistic superconductor in...

Energy of magnetic vortices in a rotating superconductor (2000)

Prix, Reinhard, Carter, Brandon, Langlois, David

We carry out a systematic analytic investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible nonrelativistic superconductor in a...

Aspects de L´Hydrodynamique Superfluide des Ètoiles á Neutrons = Aspects of Superfluid Hydrodynamics in Neutron Stars (2000)

Prix, Reinhard, Carter, Brandon

Ce travail est consacré à l'étude de différents aspects de l'hydrodynamique des superfluides dans les étoiles à neutrons (EN), à la fois du point de vue des propriétés locales des...

Chiral Vortons and Cosmological Constraints on Particle Physics (1999)

Carter, Brandon, Davis, Anne-Christine

We investigate the cosmological consequences of particle physics theories that admit stable loops of current-carrying string - vortons. In particular, we consider chiral theories where a single...

Bogomol'nyi Limit For Magnetic Vortices In Rotating Superconductor (1999)

Carter, Brandon, Langlois, David, Prix, Reinhard

This work is the sequel of a previous investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in...

Energy of Magnetic Vortices in Rotating Superconductor (1999)

Carter, Brandon, Prix, Reinhard, Langlois, David

We carry out a systematic analytic investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in a...

Old and New Processes of Vorton Formation (1999)

Carter, Brandon

After a brief explanation of the concept of a vorton, quantitative estimates of the vorton population that would be produced in various cosmic string scenarios are reviewed. Attention is drawn to...

Vortex Dynamics in Superfluids (1999)

Carter, Brandon

Superfluid condensates are known to occur in contexts ranging from laboratory liquid helium to neutron stars, and are also likely to occur in cosmological phenomena such as axion fields. In the zero...

Dynamics and integrability property of the chiral string model (1999)

Carter, Brandon, Peter, Patrick

The effect of fermionic string conductivity by purely right (or purely left) moving ``zero modes'' is shown to be governed by a simple Lagrangian characterising a certain ``chiral'' (null current...

Formally renormalisable gravitationally self interacting string models (1998)

Carter, Brandon

It has recently been shown how the effect of the divergent part of the gravitational self interaction for a classical string model in 4 dimensions can be allowed for by a renormalisation of its...

Renormalisation of gravitational self interaction for wiggly strings (1998)

Carter, Brandon

It is shown that for any elastic string model with energy density $U$ and tension $T$, the divergent contribution from gravitational self interaction can be allowed for by an action renormalisation...

Relativistic models for Superconducting-Superfluid Mixtures (1998)

Carter, Brandon, Langlois, David

The material below the crust of a neutron star is understood to be describable in terms of three principal independently moving constituents, identifiable as neutrons, protons, and electrons, of...

Regularisation of classical self interaction in strings (1998)

Carter, Brandon

A general method of regularisation of classical self interaction in strings is extended from the electromagnetic case (for which it was originally developed) to the gravitation case, for which the...

Recent developments in Vorton Theory (1997)

Carter, Brandon

This article provides a concise overview of recent theoretical results concerning the theory of vortons, which are defined to be (centrifugally supported) equilibrium configurations of (current...

Has the black hole equilibrium problem been solved? (1997)

Carter, Brandon

When the term ``black hole'' was originally coined in 1968, it was immediately conjectured that the only pure vacuum equilibrium states were those of the Kerr family. Efforts to confirm this made...

Differential rotation of relativistic superfluid in neutron stars (1997)

Langlois, David, Sedrakian, David M., Carter, Brandon

It is shown how to set up a mathematically elegant and fully relativistic superfluid model that can provide a realistic approximation (neglecting small anisotropies due to crust solidity, magnetic...

Moving vortex in relativistic irrotational perfect fluid or superfluid (1997)

Carter, Brandon, Langlois, David, Priou, Denis

Irrotational relativistic vortex configurations in uniform subsonic motion with respect to a surrounding perfect fluid are analysed for the purpose of application to superfluid layers in neutron...

Brane dynamics for treatment of cosmic strings and vortons (1997)

Carter, Brandon

This course provides a self contained introduction to the general theory of relativistic brane models, of the category that includes point particle, string, and membrane representations for phenomena...

Amalgamated Codazzi Raychaudhuri identity for foliation (1997)

Carter, Brandon

It is shown how a pure background tensor formalism provides a concise but explicit and highly flexible machinery for the generalised curvature analysis of individual embedded surfaces and foliations...

Electromagnetic self interaction in strings (1997)

Carter, Brandon

To facilitate the treatment of electromagnetic effects in applications such as dynamically perturbed vortons, this work employs a covariantly formulated string-source Green measure to obtain a...

Kalb-Ramond coupled vortex fibration model for relativistic superfluid dynamics (1996)

Carter, Brandon, Langlois, David

The macroscopic dynamics of a rotating superfluid deviates from that of a simple perfect fluid due to the effect of vorticity quantisation, which gives rise to a substructure of cosmic string type...

Dynamics of Cosmic Strings and other Brane models (1996)

Carter, Brandon

The supporting worldsheet of a string, membrane, or other higher dimensional brane, is analysed in terms of its first, second, and third fundamental tensors, and its inner and outer curvature...

Avoidance of Collapse by Circular Current-Carrying Cosmic String Loops (1996)

Carter, Brandon, Peter, Patrick, Gangui, Alejandro

Earlier attempts to calculate the nonlinear dynamical evolution of Witten type superconducting vacuum vortex defects relied on the use of approximate conducting string models that were too simple to...

The Equation of State for Cool Relativistic Two-Constituent Superfluid Dynamics (1995)

Carter, Brandon, Langlois, David

The natural relativistic generalisation of Landau's two constituent superfluid theory can be formulated in terms of a Lagrangian $L$ that is given as a function of the entropy current 4-vector...

Explicit Relativistic Vortex Solutions for Cool Two-Constituent Superfluid Dynamics (1995)

Carter, Brandon, Langlois, David

We give a class of explicit solutions for the stationary and cylindrically symmetric vortex configurations for a ``cool'' two-component superfluid (i.e. superfluid with an ideal gas of phonons). Each...

Transonic Elastic Model for Wiggly Goto-Nambu String (1994)

Carter, Brandon

The hitherto controversial proposition that a ``wiggly" Goto-Nambu cosmic string can be effectively represented by an elastic string model of exactly transonic type (with energy density $U$ inversely...

Supersonic String Model for Witten Vortices (1994)

Carter, Brandon, Peter, Patrick

A new cosmic string model specified by two independent mass parameters is introduced for the purpose of providing a realistic representation of the macroscopic dynamical behaviour of Witten type...

Curvature Corrections to Dynamics of Domain Walls (1994)

Carter, Brandon, Gregory, Ruth

The most usual procedure for deriving curvature corrections to effective actions for topological defects is subjected to a critical reappraisal. A logically unjustified step (leading to...

BLACK HOLES AS THE FINAL STATE IN THE EVOLUTION OF MASSIVE BODIES (1973)

Carter, Brandon

It was first realised by Chandrasekhar that no object above a critical niass not much larger than that of the sun can remain in equilibrium under its own gravitational field in the long run after its...

BLACK HOLES AS THE FINAL STATE IN THE EVOLUTION OF MASSIVE BODIES (1973)

Carter, Brandon

It was first realised by Chandrasekhar that no object above a critical niass not much larger than that of the sun can remain in equilibrium under its own gravitational field in the long run after its...

BLACK HOLES AS THE FINAL STATE IN THE EVOLUTION OF MASSIVE BODIES (1973)

Carter, Brandon

It was first realised by Chandrasekhar that no object above a critical niass not much larger than that of the sun can remain in equilibrium under its own gravitational field in the long run after its...