2010 journal article

Trumpet slices of the Schwarzschild-Tangherlini spacetime

Phys.Rev.D, 82, 124057.

Source: ORCID
Added: November 4, 2021

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 parameterized 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 Baumgarte-Shapiro-Shibata-Nakamura equations for D = 5 in spherical symmetry using moving-puncture coordinates and demonstrate that these simulations settle down to the trumpet solutions.