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Title: Analytical representation of a black hole puncture solution

Abstract

The 'moving-puncture' technique has led to dramatic advancements in the numerical simulations of binary black holes. Hannam et al. have recently demonstrated that, for suitable gauge conditions commonly employed in moving-puncture simulations, the evolution of a single black hole leads to a well-known, time-independent, maximal slicing of Schwarzschild spacetime. They construct the corresponding solution in isotropic coordinates numerically and demonstrate its usefulness, for example, for testing and calibrating numerical codes that employ moving-puncture techniques. In this brief report we point out that this solution can also be constructed analytically, making it even more useful as a test case for numerical codes.

Authors:
;  [1]
  1. Department of Physics and Astronomy, Bowdoin College, Brunswick, Maine 04011 (United States)
Publication Date:
OSTI Identifier:
21020219
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.067502; (c) 2007 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; BLACK HOLES; COORDINATES; COSMOLOGY; MATHEMATICAL SOLUTIONS; NUMERICAL ANALYSIS; QUANTUM FIELD THEORY; SCHWARZSCHILD METRIC; SPACE-TIME

Citation Formats

Baumgarte, Thomas W., and Naculich, Stephen G. Analytical representation of a black hole puncture solution. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.067502.
Baumgarte, Thomas W., & Naculich, Stephen G. Analytical representation of a black hole puncture solution. United States. doi:10.1103/PHYSREVD.75.067502.
Baumgarte, Thomas W., and Naculich, Stephen G. Thu . "Analytical representation of a black hole puncture solution". United States. doi:10.1103/PHYSREVD.75.067502.
@article{osti_21020219,
title = {Analytical representation of a black hole puncture solution},
author = {Baumgarte, Thomas W. and Naculich, Stephen G.},
abstractNote = {The 'moving-puncture' technique has led to dramatic advancements in the numerical simulations of binary black holes. Hannam et al. have recently demonstrated that, for suitable gauge conditions commonly employed in moving-puncture simulations, the evolution of a single black hole leads to a well-known, time-independent, maximal slicing of Schwarzschild spacetime. They construct the corresponding solution in isotropic coordinates numerically and demonstrate its usefulness, for example, for testing and calibrating numerical codes that employ moving-puncture techniques. In this brief report we point out that this solution can also be constructed analytically, making it even more useful as a test case for numerical codes.},
doi = {10.1103/PHYSREVD.75.067502},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}