Black hole quasinormal mode spectroscopy with LISA (2008)
Jadhav, Manish M., Burko, Lior M.
The signal-to-noise ratio (SNR) for black hole quasinormal mode sources of low-frequency gravitational waves is estimated using a Monte Carlo approach that replaces the all-sky average approximation....
Transversality of Electromagnetic Waves in the Calculus-Based Introductory Physics Course (2008)
Introductory calculus-based physics textbooks state that electromagnetic waves are transverse and list many of their properties, but most such textbooks do not bring forth arguments why this is so....
Barton, Jonathan L., Lazar, David J., Kennefick, Daniel J., Khanna, Gaurav, Burko, Lior M.
Gravitational waveforms and fluxes from extreme mass--ratio inspirals can be computed using time--domain methods with accuracy that is fast approaching that of frequency--domain methods. We study in...
Late-time Kerr tails revisited (2007)
Burko, Lior M., Khanna, Gaurav
The decay rate of late time tails in the Kerr spacetime have been the cause of numerous conflicting results, both analytical and numerical. In particular, there is much disagreement on whether the...
The late-time tails in the Reissner-Nordstr\"{o}m spacetime revisited (2007)
Blaksley, Carl J., Burko, Lior M.
We propose that the late-time tail problem in the Reissner-Nordstr\"{o}m (RN) spacetime is dual to a tail problem in the Schwarzschild spacetime with a different initial data set: at a fixed...
We extract the Weyl scalars $\Psi_0$ and $\Psi_4$ in the quasi-Kinnersley tetrad by finding initially the (gauge--, tetrad--, and background--independent) transverse quasi-Kinnersley frame. This step...
Orbital evolution for extreme mass-ratio binaries: conservative self forces (2007)
The conservative dephasing effects of gravitational self forces for extreme mass-ratio inspirals are studied. Both secular and non-secular conservative effects may have a significant effect on LISA...
Multipole structure and coordinate systems (2007)
Multipole expansions depend on the coordinate system, so that coefficients of multipole moments can be set equal to zero by an appropriate choice of coordinates. Therefore, it is meaningless to say...
Accurate time-domain gravitational waveforms for extreme-mass-ratio binaries (2006)
Burko, Lior M., Khanna, Gaurav
The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results...
Towards a novel wave-extraction method for numerical relativity (2006)
Nerozzi, Andrea, Bruni, Marco, Burko, Lior M., Re, Virginia
We present the recent results of a research project aimed at constructing a robust wave extraction technique for numerical relativity. Our procedure makes use of Weyl scalars to achieve wave...
Comparing the corrections to Kepler's law with orbital evolution under a self force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a...
Comment on "High-order contamination in the tail of gravitational collapse'' (2005)
Smith, Alexander Z., Burko, Lior M.
We confront the predictions of S. Hod, Phys. Rev. D 60, 104053 (1999) for the late-time decay rate of black hole perturbations with numerical data. Specifically, we ask two questions: First, are...
Nerozzi, Andrea, Bruni, Marco, Re, Virginia, Burko, Lior M.
We present a numerical study of the evolution of a non-linearly disturbed black hole described by the Bondi--Sachs metric, for which the outgoing gravitational waves can readily be found using the...
Burko, Lior M., Baumgarte, Thomas W., Beetle, Christopher
Beetle and Burko recently introduced a background--independent scalar curvature invariant for general relativity that carries information only about the gravitational radiation in generic spacetimes,...
Periodic standing-wave approximation: Overview and three-dimensional scalar models (2004)
Andrade, Zeferino, Beetle, Christopher, Blinov, Alexey, Bromley, Benjamin, Burko, Lior M., Cranor, Maria, ...
The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow...
Late time tails from momentarily stationary, compact initial data in Schwarzschild spacetimes (2004)
Price, Richard H., Burko, Lior M.
An L-pole perturbation in Schwarzschild spacetime generally falls off at late times t as t^{-2L-3}. It has recently been pointed out by Karkowski, Swierczynski and Malec, that for initial data that...
Beetle, Christopher, Bruni, Marco, Burko, Lior M., Nerozzi, Andrea
The Teukolsky formalism of black hole perturbation theory describes weak gravitational radiation generated by a mildly dynamical hole near equilibrium. A particular null tetrad of the background Kerr...
Towards wave extraction in numerical relativity: the quasi-Kinnersley frame (2004)
Nerozzi, Andrea, Beetle, Christopher, Bruni, Marco, Burko, Lior M., Pollney, Denis
The Newman-Penrose formalism may be used in numerical relativity to extract coordinate-invariant information about gravitational radiation emitted in strong-field dynamical scenarios. The main...
3D simulations of linearized scalar fields in Kerr spacetime (2004)
Scheel, Mark A., Erickcek, Adrienne L., Burko, Lior M., Kidder, Lawrence E., Pfeiffer, Harald P., Teukolsky, Saul A.
We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a (3+1)-dimensional spectral evolution code, and we measure the power-law tail...
Universality of massive scalar field late-time tails in black-hole spacetimes (2004)
The late-time tails of a massive scalar field in the spacetime of black holes are studied numerically. Previous analytical results for a Schwarzschild black hole are confirmed: The late-time behavior...
Radiation tails and boundary conditions for black hole evolutions (2004)
Allen, Elspeth W., Buckmiller, Elizabeth, Burko, Lior M., Price, Richard H.
In numerical computations of Einstein's equations for black hole spacetimes, it will be necessary to use approximate boundary conditions at a finite distance from the holes. We point out here that...
Ballistic trajectory: parabola, ellipse, or what? (2003)
Burko, Lior M., Price, Richard H.
Mechanics texts tell us that a particle in a bound orbit under gravitational central force moves on an ellipse, while introductory physics texts approximate the earth as flat, and tell us that the...
The Periodic Standing-Wave Approximation: Overview and Three Dimensional Scalar Models (2003)
Andrade, Zeferino, Beetle, Christopher, Blinov, Alexey, Bromley, Benjamin, Burko, Lior M., Cranor, Maria, ...
The periodic standing-wave method for binary inspiral computes the exact numerical solution for periodic binary motion with standing gravitational waves, and uses it as an approximation to slow...
We consider the evolution of the orbit of a spinning compact object in a quasi-circular, planar orbit around a Schwarzschild black hole in the extreme mass ratio limit. We compare the contributions...
3D simulations of linearized scalar fields in Kerr spacetime (2003)
Scheel, Mark A., Erickcek, Adrienne L., Burko, Lior M., Kidder, Lawrence E., Pfeiffer, Harald P., Teukolsky, Saul A.
We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a 3+1 dimensional spectral evolution code, and we measure the power-law tail decay...
Effect of the spherical Earth on a simple pendulum (2003)
We consider the period of a simple pendulum in the gravitational field of the spherical Earth. Effectively, gravity is enhanced compared with the often used flat Earth approximation, such that the...
A Radiation Scalar for Numerical Relativity (2002)
Beetle, Christopher, Burko, Lior M.
This letter describes a scalar curvature invariant for general relativity with a certain, distinctive feature. While many such invariants exist, this one vanishes in regions of space-time which can...
Radiative falloff in the background of rotating black hole (2002)
Burko, Lior M., Khanna, Gaurav
We study numerically the late-time tails of linearized fields with any spin $s$ in the background of a spinning black hole. Our code is based on the ingoing Kerr coordinates, which allow us to...
Black hole singularities: a new critical phenomenon (2002)
The singularitiy inside a spherical charged black hole, coupled to a spherical, massless scalar field is studied numerically. The profile of the characteristic scalar field was taken to be a power of...
Orbital evolution of a test particle around a black hole: higher-order corrections (2002)
We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws...
Mass loss by a scalar charge in an expandin universe (2002)
Burko, Lior M., Harte, Abraham I., Poisson, Eric
We study the phenomenon of mass loss by a scalar charge—a point particle that acts as a source for a noninteracting scalar field—in an expanding universe. The charge is placed on comoving world...
Survival of the black hole's Cauchy horizon under non-compact perturbations (2002)
We study numerically the evolution of spactime, and in particular of a spacetime singularity, inside a black hole under a class of perturbations of non-compact support. We use a very simplified toy...
Self interaction near dielectrics (2002)
We compute the force acting on a free, static electric charge outside a uniform dielectric sphere. We view this force as a self-interaction force, and compute it by applying the Lorentz force...
Mass loss by a scalar charge in an expanding universe (2002)
Burko, Lior M., Harte, Abraham I., Poisson, Eric
We study the phenomenon of mass loss by a scalar charge -- a point particle that acts a source for a noninteracting scalar field -- in an expanding universe. The charge is placed on comoving world...
Instability of scalar charges in 1+1D and 2+1D (2002)
We study the phenomenon of mass loss by a scalar charge -- a point particle which acts as a source for a (non-interacting) scalar field -- in (1+1)-dimensional and (2+1)-dimensional flat spacetime....
Self-force on a scalar charge in the spacetime of a stationary, axisymmetric black hole (2001)
We study the self-force acting on a particle endowed with scalar charge, which is held static (with respect to an undragged, static observer at infinity) outside a stationary, axially symmetric black...
Self force on a scalar charge in the spacetime of a stationary, axisymmetric black hole (2001)
We study the self force acting on a particle endowed with scalar charge, which is held static (with respect to an undragged, static observer at infinity) outside a stationary, axially-symmetric black...
Self-force on charges in the spacetime of spherical shells (2001)
Burko, Lior M., Liu, Yuk Tumg, Soen, Yoav
We study the self-force acting on static electric or scalar charges inside or outside a spherical, massive, thin shell. The regularization of the self-force is done using the recently proposed mode...
Singularity in a (2+1)-dimensional AdS scalar black hole (2000)
We study the spacetime singularity in a (2+1)-dimensional AdS scalar black hole with circular symmetry using a quasihomogeneous model. We show that this is a spacelike, scalar curvature,...
Radiation-reaction force on a particle plunging into a black hole (2000)
We calculate the self-force acting on a scalar particle which is falling radially into a Schwarzschild black hole. We treat the particle’s self-field as a linear perturbation over the fixed...
Radiation-reaction force on a particle plunging into a black hole (2000)
We calculate the self-force acting on a scalar particle which is falling radially into a Schwarzschild black hole. We treat the particle’s self-field as a linear perturbation over the fixed...
Self force on charges in the spacetime of spherical shells (2000)
Burko, Lior M., Liu, Yuk Tung, Soen, Yoav
We study the self force acting on static electric or scalar charges inside or outside a spherical, massive, thin shell. The regularization of the self force is done using the recently-proposed Mode...
Singularity in 2+1 dimensional AdS-scalar black hole (2000)
We study the spacetime singularity in 2+1 dimensional AdS-scalar black hole with circular symmetry using a quasi-homogeneous model. We show that this is a spacelike, scalar curvature, deformationally...
Radiation-reaction force on a particle plunging into a black hole (2000)
We calculate the self force acting on a scalar particle which is falling radially into a Schwarzschild black hole. We treat the particle's self-field as a linear perturbation over the fixed...
Self-Force on a Particle in Orbit around a Black Hole (2000)
We study the self-force acting on a scalar charge in uniform circular motion around a Schwarzschild black hole. The analysis is based on a direct calculation of the self-force via mode decomposition,...
Self force on particle in orbit around a black hole (2000)
We study the self force acting on a scalar charge in uniform circular motion around a Schwarzschild black hole. The analysis is based on a direct calculation of the self force via mode decomposition,...
Self-force on static charges in Schwarzschild spacetime (2000)
We study the self-forces acting on static scalar and electric test charges in the spacetime of a Schwarzschild black hole. The analysis is based on a direct, local calculation of the self-forces via...
Self-force approach for radiation reaction (1999)
We overview the recently proposed mode-sum regularization prescription (MSRP) for the calculation of the local radiation-reaction forces, which are crucial for the orbital evolution of binaries. We...
Strength of the null singularity inside black holes (1999)
We study analytically the Cauchy horizon singularity inside spherically symmetric charged black holes, coupled to a spherical, self-gravitating, minimally coupled, massless scalar field. We show that...
Self force on static charges in Schwarzschild spacetime (1999)
We study the self forces acting on static scalar and electric test charges in the spacetime of a Schwarzschild black hole. The analysis is based on a direct, local calculation of the self forces via...
Strength of the null singularity inside black holes (1999)
We study analytically the Cauchy horizon singularity inside spherically-symmetric charged black holes, coupled to a spherical self-gravitating, minimally-coupled, massless scalar field. We show that...
A Piecewise-Conserved Constant of Motion for a Dissipative System (1999)
We discuss a piecewise-conserved constant of motion for a simple dissipative oscillatory mechanical system. The system is a harmonic oscillator with sliding (dry) friction. The piecewise-conserved...
Self-force approach to synchrotron radiation (1999)
We analyze radiation reaction for synchrotron radiation by computing, via a multipole expansion, the near field evaluated on the world-line of the charge. We find that the temporal component of the...
Dipole perturbations of the Reissner-Nordstrom solution. II. The axial case (1999)
We study the linear metric perturbations of the Reissner-Nordstr\"{o}m solution for the case of axial perturbation modes. We find that the well-known perturbative analysis fails for the case of...
Singularity deep inside the spherical charged black hole core (1998)
We study analytically the spacelike singularity inside a spherically-symmetric, charged black hole coupled to a self-gravitating spherical massless scalar field. We assume spatial homogeneity, and...
The singularity in supercritical collapse of a spherical scalar field (1998)
We study the singularity created in the supercritical collapse of a spherical massless scalar field. We first model the geometry and the scalar field to be homogeneous, and find a generic solution...
The electromagnetic radiation that falls into a Reissner-Nordstr\"{o}m black hole is known to develop a ``blue sheet'', namely, an infinite concentration of energy density at the Cauchy horizon. The...
Analytic study of the null singularity inside spherical charged black holes (1997)
We study analytically the features of the Cauchy horizon (CH) singularity inside a spherically-symmetric charged black hole, nonlinearly perturbed by a self-gravitating massless scalar field. We...
Homogeneous spacelike singularities inside spherical black holes (1997)
Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless,...
Structure of the black hole's Cauchy horizon singularity (1997)
We study the Cauchy horizon (CH) singularity of a spherical charged black hole perturbed nonlinearly by a self-gravitating massless scalar field. We show numerically that the singularity is weak both...
Free evolution of nonlinear scalar field collapse in double-null coordinates (1997)
We study numerically the fully nonlinear spherically-symmetric collapse of a self-gravitating, minimally-coupled, massless scalar field. Our numerical code is based on double-null coordinates and on...
Structure of the Cauchy horizon singularity (1997)
We study the Cauchy horizon (CH) singularity of a spherical charged black hole perturbed nonlinearly by a self-gravitating massless scalar field. We show numerically that the singularity is weak both...
Late-time evolution of nonlinear gravitational collapse (1997)
We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null...
Burko, Lior M. (ed.), Ori, Amos (ed.)
0-7503-0548-7
QED blue-sheet effects inside black holes (1996)
The interaction of the unboundedly blue-shifted photons of the cosmic microwave background radiation with a physical object falling towards the inner horizon of a Reissner-Nordstrom black hole is...
Comment on the Roberts solution for the spherically-symmetric Einstein-scalar field equations (1996)
We critically examine the Roberts homothetic solution for the spherically symmetric Einstein-scalar field equations in double null coordinates, and show that the Roberts solution indeed solves the...
Dipole Perturbations of the Reissner-Nordstrom Solution: The Polar Case (1995)
The formalism developed by Chandrasekhar for the linear polar perturbations of the Reissner-Nordstrom solution is generalized to include the case of dipole (l=1) perturbations. Then, the perturbed...
Remarks on the formation of black holes in non-symmetric gravity (1995)
In a recent paper, we discussed the formation of black holes in non-symmetric gravity. That paper was then criticized by Cornish and Moffat. In the present paper, we address the arguments raised by...
On the formation of black holes in non-symmetric gravity (1995)
It has been recently suggested that the Non-symmetric Gravitational Theory (NGT) is free of black holes. Here, we study the linear version of NGT. We find that even with spherical symmetry the skew...
Are physical objects necessarily burnt up by the blue sheet inside a black hole? (1995)
The electromagnetic radiation that falls into a Reissner-Nordstrom black hole develops a ``blue sheet'' of infinite energy density at the Cauchy horizon. We consider classical electromagnetic fields...