Purely Magnetic Spacetimes (2008)
Spacetimes in which the electric part of the Weyl tensor vanishes (relative to some timelike unit vector field) are said to be purely magnetic. Examples of purely magnetic spacetimes are known and...
Killing Tensors from Conformal Killing Vectors (2008)
Alan Barnes, Brian Edgar, Raffaele Rani
In an n-dimensional Riemannian manifold a Killing tensor (of order 2) is a symmetric tensor Kab satisfying
On Stephani's rotating dust solutions (2008)
Alan Barnes School, Alan Barnes, Alan Barnes
Some years ago Stephani derived two classes of rotating dust solutions. In this paper Stephani's results are generalised to the case where the cosmological constant is non-zero. The solutions...
Killing Tensors and Conformal Killing Tensors from Conformal Killing Vectors (2008)
Raffaele Rani, S. Brian Edgar, Alan Barnes
Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conformal Killing vectors...
Submitted to Class. Quantum Grav. (2007)
1999 Abstract. Some years ago Stephani derived two classes of rotating dust solutions. In this paper Stephani's results are generalised to the case where the cosmological constant is non-zero....
Symmetries Of The Stephani Universes And Related Solutions (2007)
ferential equations. Killing vectors tangent to the constant curvature hypersurfaces may also exist if these functions satisfy certain linear algebraic equations. 1 The Stephani Metrics We consider...
Submitted to Class. Quantum Grav. (2007)
2001 Abstract. Two classes of solutions for conformally at perfect uids exist depending on whether the uid expansion vanishes or not. The expanding solutions have become known as the Stephani...
Symmetries of the Stephani Universes (2007)
Stephani(1967) derived the general solution for a conformally at perfect uid. The expanding solutions have become known as the Stephani Universes and are given by ds = V dt (a(t) + b(t)r (dx + dy +...
Killing Tensors from Conformal Killing Vectors Alan Barnes (2007)
Brian Edgar And, Alan Barnes, Brian Edgar, Raaele Rani
this paper it is shown that the severe restriction of orthogonality is unnecessary and thus it is possible that many more Killing tensors can be constructed in this way. We also extend, and in one...
Symmetries Of The Stephani Universes And (2007)
Related Solutions Alan, Alan Barnes
he symmetries of Stephani's conformally at perfect uids and rotating `dust' solutions. Two classes of conformally at uid spacetimes exist depending on whether the uid expansion vanishes or...
Barnes, Alan, Bale, Jeffery, Constantinidou, Chrystala, Ashton, Peter, Jones, Anthony, Pritchard, Jeremy
The phloem transport system is a complex tissue that primarily carries photoassimilate from source to sink. Its function depends on anucleate sieve elements (SE) supported by companion cells (CC). In...
Barnes, Alan, Bale, Jeffery, Constantinidou, Chrystala, Ashton, Peter, Jones, Anthony, Pritchard, Jeremy
The phloem transport system is a complex tissue that primarily carries photoassimilate from source to sink. Its function depends on anucleate sieve elements (SE) supported by companion cells (CC). In...
On the Symmetries of the Edgar-Ludwig Metric (2001)
Alan Barnes School, Alan Barnes, Alan Barnes
The conformal Killing equations for the most general (nonplane wave) conformally at pure radiation eld are solved to nd the conformal Killing vectors. As expected fteen independent conformal Killing...
A comment on a paper by Carot et al. (2001)
In a recent paper Carot et al. considered carefully the de nition of cylindrical symmetry as a specialisation of the case of axial symmetry. One of their propositions states that if there is a second...
Ricci Collineations in Friedmann-Robertson-Walker Spacetimes (2001)
Ricci collineations and Ricci inheritance collineations of Friedmann-Robertson-Walker spacetimes are considered. When the Ricci tensor is non-degenerate, it is shown that the spacetime always admits...
Some Restrictions on the Symmetry Groups of Axially Symmetric Spacetimes (2001)
Lie transformation groups containing a one-dimensional subgroup acting cyclically on a manifold are considered. The structure of the group is found to be considerably restricted by the existence of a...
Univariate Power Series Expansions in Reduce (1999)
We describe the development of a formal power series expansion package for Reduce which takes advantage of Reduce's domain mechanism to make for a seamless integration of series values with the...
Werner Antweiler, Victor Adamchik, Joachim Apel, Alan Barnes, Yu. A. Blinkov, Russell Bradford, ...
Copyright c○2004 Anthony C. Hearn. All rights reserved. Registered system holders may reproduce all or any part of this publication for internal purposes, provided that the source of the material...
Symmetries of the Stephani Universes (1998)
. Two classes of solutions for conformally flat perfect fluids exist depending on whether the fluid expansion vanishes or not. The expanding solutions have become known as the Stephani universes and...
Studies in unsymmetrical nickel BIS(dithiolene) complexes. (1995)
Thesis (Ph. D.)--University of Huddersfield, 1995.
Univariate Power Series Expansions in Reduce (1990)
Julian Padget School, Julian Padget, Alan Barnes
We describe the development of a formal power series expansion package for Reduce which takes advantage of Reduce's domain mechanism to make for a seamless integration of series values with the...