Linear Stability of Mandal-Sengupta-Wadia Black Holes
Abstract
In this letter, the linear stability of static Mandal-Sengupta-Wadia (MSW) black holes in -dimensional gravity against circularly symmetric perturbations is studied. Our analysis only applies to non-extremal configurations, thus it leaves out the case of the extremal (2+1) MSW solution. The associated fields are assumed to have small perturbations in these static backgrounds. We then consider the dilaton equation and specific components of the linearized Einstein equations. The resulting effective Klein-Gordon equation is reduced to the Schr\"{o}dinger like wave equation with the associated effective potential. Finally, it is shown that MSW black holes are stable against to the small time-dependent perturbation
Keywords
Cite
@article{arxiv.1706.07877,
title = {Linear Stability of Mandal-Sengupta-Wadia Black Holes},
author = {H. Gürsel and G. Tokgöz and İzzet Sakallı},
journal= {arXiv preprint arXiv:1706.07877},
year = {2019}
}
Comments
Accepted for Publication in Modern Physics Letters A. This work is the result of an idea appeared during the PhD course of PHYS603 "Special Topics in General Relativity" (EMU-Physics Department). I (\.{I}zzet Sakall{\i}) thank to my PhD students (H. G\"ursel and G. Tokg\"oz) for their great efforts