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

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Husa,  Sascha
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Ohme,  Frank
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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PRD78-064020.pdf
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Citation

Hannam, M., Husa, S., Ohme, F., Brügmann, B., & O Murchadha, N. (2008). Wormholes and trumpets: Schwarzschild spacetime for the moving-puncture generation. Physical Review D, 78(6): 064020. doi:10.1103/PhysRevD.78.064020.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-139B-7
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 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.