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Title: Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation

Abstract

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from ten scalar functions, satisfying a set of ten wavelike equations, which are decoupled at their principal parts. We solve these equations using numerical evolution in the time domain, for the case of a pointlike test particle set in a circular geodesic orbit around the black hole. Our code uses characteristic coordinates, and incorporates a constraint-damping scheme. The axially symmetric, odd-parity modes of the perturbation are obtained analytically. The approach developed here is especially advantageous in applications requiring knowledge of the local metric perturbation near a point particle; in particular, it offers a useful framework for calculations of the gravitational self-force.

Authors:
;  [1];  [2]
  1. School of Mathematics, University of Southampton, Southampton, SO17 1BJ (United Kingdom)
  2. (United States)
Publication Date:
OSTI Identifier:
20711579
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.72.104026; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AXIAL SYMMETRY; BLACK HOLES; COSMOLOGY; DAMPING; DIFFERENTIAL GEOMETRY; DISTURBANCES; LORENTZ INVARIANCE; PARITY; SCALARS; SCHWARZSCHILD METRIC; TENSORS; TEST PARTICLES

Citation Formats

Barack, Leor, Lousto, Carlos O., and Department of Physics and Astronomy, and Center for Gravitational Wave Astronomy, The University of Texas at Brownsville, Brownsville, Texas 78520. Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.104026.
Barack, Leor, Lousto, Carlos O., & Department of Physics and Astronomy, and Center for Gravitational Wave Astronomy, The University of Texas at Brownsville, Brownsville, Texas 78520. Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation. United States. doi:10.1103/PhysRevD.72.104026.
Barack, Leor, Lousto, Carlos O., and Department of Physics and Astronomy, and Center for Gravitational Wave Astronomy, The University of Texas at Brownsville, Brownsville, Texas 78520. Tue . "Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation". United States. doi:10.1103/PhysRevD.72.104026.
@article{osti_20711579,
title = {Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation},
author = {Barack, Leor and Lousto, Carlos O. and Department of Physics and Astronomy, and Center for Gravitational Wave Astronomy, The University of Texas at Brownsville, Brownsville, Texas 78520},
abstractNote = {We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from ten scalar functions, satisfying a set of ten wavelike equations, which are decoupled at their principal parts. We solve these equations using numerical evolution in the time domain, for the case of a pointlike test particle set in a circular geodesic orbit around the black hole. Our code uses characteristic coordinates, and incorporates a constraint-damping scheme. The axially symmetric, odd-parity modes of the perturbation are obtained analytically. The approach developed here is especially advantageous in applications requiring knowledge of the local metric perturbation near a point particle; in particular, it offers a useful framework for calculations of the gravitational self-force.},
doi = {10.1103/PhysRevD.72.104026},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}