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arxiv: 0804.0628 · v2 · submitted 2008-04-03 · 🌀 gr-qc

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Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation

Mark Hannam , Sascha Husa , Frank Ohme , Bernd Bruegmann , Niall O'Murchadha
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classification 🌀 gr-qc
keywords schwarzschildmoving-puncturenumericaldataspacetimestationaryalternatesanalysis
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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.

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