19–21 Feb 2019
"Sapienza" University, Phys. Dept. Marconi
Europe/Rome timezone

Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large D Limit

20 Feb 2019, 18:29
1m
I Floor (Phys. Dept. Marconi)

I Floor

Phys. Dept. Marconi

poster Gravity: theory Poster session

Speaker

Amruta Sadhu (IISER Pune)

Description

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 equa-
tions 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 O(D^2). 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 corre-
sponding eigenvalue for the D dimensional Schwarzschild-Tangherlini black
hole to next to leading order in a 1/D expansion.

Primary authors

Amruta Sadhu (IISER Pune) Suneeta Vardarajan (IISER Pune)

Presentation materials

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