Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
General Relativity and Quantum Cosmology
2009-02-20 v2
Abstract
We expand upon our previous analysis of numerical moving-puncture simulations of the Schwarzschild spacetime. We present a derivation of the family of analytic stationary 1+log foliations of the Schwarzschild solution, and outline a transformation to isotropic-like coordinates. We discuss in detail the numerical evolution of standard Schwarzschild puncture data, and the new time-independent 1+log data. Finally, we demonstrate that the moving-puncture method can locate the appropriate stationary geometry in a robust manner when a numerical code alternates between two forms of 1+log slicing during a simulation.
Keywords
Cite
@article{arxiv.0804.0628,
title = {Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation},
author = {Mark Hannam and Sascha Husa and Frank Ohme and Bernd Bruegmann and Niall O'Murchadha},
journal= {arXiv preprint arXiv:0804.0628},
year = {2009}
}
Comments
19 pages, 22 figures