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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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