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arXiv · 1010.5723

Trumpet slices of the Schwarzschild-Tangherlini spacetime

Kenneth A. Dennison·John P. Wendell·Thomas W. Baumgarte·J. David Brown
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Abstract

We study families of time-independent maximal and 1+log foliations of the Schwarzschild-Tangherlini spacetime, the spherically-symmetric vacuum black hole solution in D spacetime dimensions, for D >= 4. We identify special members of these families for which the spatial slices display a trumpet geometry. Using a generalization of the 1+log slicing condition that is parametrized by a constant n we recover the results of Nakao, Abe, Yoshino and Shibata in the limit of maximal slicing. We also construct a numerical code that evolves the BSSN equations for D=5 in spherical symmetry using moving-puncture coordinates, and demonstrate that these simulations settle down to the trumpet solutions.

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Kenneth A. Dennison, John P. Wendell, Thomas W. Baumgarte, J. David Brown. 2010-10-27. Trumpet slices of the Schwarzschild-Tangherlini spacetime. https://doi.org/10.1103/physrevd.82.124057

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