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arXiv · 0908.1019

Stability of branes trapped by d-dimensional black holes

Kenta Hioki·Umpei Miyamoto·Masato Nozawa
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Abstract

The system of extended objects interplaying with a black hole describes or mimics various gravitational phenomena. In this brief paper, we report the results of stability analysis of codimension-one Dirac-Nambu-Goto branes rest at the equatorial plane of $d$-dimensional spherical black holes, including the Schwarzschild and Schwarzschild-(anti-)de Sitter black holes. For the Schwarzschild and Schwarzschild-anti-de Sitter backgrounds the stability of branes is shown analytically by means of a deformation technique. In contrast, for the Schwarzschild-de Sitter background we demonstrate with the help of numerics that the brane is unstable (only) against the s-wave sector of perturbations.

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Kenta Hioki, Umpei Miyamoto, Masato Nozawa. 2009-09-16. Stability of branes trapped by d-dimensional black holes. https://doi.org/10.1103/physrevd.80.084011

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