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arxiv: 1010.5723 · v1 · pith:7SS2WGJVnew · submitted 2010-10-27 · 🌀 gr-qc

Trumpet slices of the Schwarzschild-Tangherlini spacetime

classification 🌀 gr-qc
keywords spacetimetrumpetfamiliesmaximalschwarzschild-tangherlinislicesslicingblack
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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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