Trumpet slices of the Schwarzschild-Tangherlini spacetime

Details Trumpet slices of the Schwarzschild-Tangherlini spacetime Trumpet slices of the Schwarzschild-Tangherlini spacetime

2010-10-27

arxiv.org/abs/1010.5723v1

Phys.Rev.D82:124057,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 6 figures, submitted to PRD

Scientific paper

10.1103/PhysRevD.82.124057

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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