Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3064
Title: Study of semiclassical instability of the Schwarzschild AdS black hole in the large D limit.
Authors: SADHU, AMRUTA
VARDARAJAN, SUNEETA
Dept. of Physics
Keywords: Physics
TOC-MAY-2019
2019
Issue Date: Jun-2019
Publisher: IOP Publishing
Citation: Classical and Quantum Gravity, 36(11).
Abstract: We analyze the semiclassical stability of the Schwarzschild AdS black hole in the Euclidean partition function approach. We perform this computation in the large D limit and focus on scalar perturbations. We obtain the equations for non-spherically symmetric scalar perturbations in a simple form. For a class of perturbations stability is demonstrated by the S-deformation method. For some other classes we rule out unstable modes of . We also analyze the spherically symmetric perturbations and demonstrate the appearance of an unstable mode for small black holes in the large D limit. We obtain an expression for the eigenvalue corresponding to the unstable mode to next to leading order in a 1/D expansion. This result agrees with a previously obtained numerical bound on this eigenvalue. For cosmological constant zero, our answer matches a previous result obtained for the corresponding eigenvalue for the D dimensional Schwarzschild–Tangherlini black hole to next to leading order in a 1/D expansion.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3064
https://doi.org/10.1088/1361-6382/ab1d69
ISSN: 0264-9381
1361-6382
Appears in Collections:JOURNAL ARTICLES

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