Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory

TL;DR

This paper analyzes the stability of higher-dimensional black holes in string theory by computing tensorial perturbations with quadratic Riemann corrections, deriving their potentials, and assessing their stability.

Contribution

It introduces a method to compute tensorial perturbations for spherically symmetric d-dimensional black holes with string-theoretic quadratic Riemann corrections, and studies their stability.

Findings

Derived the potential for tensorial perturbations in corrected black hole metrics

Assessed stability of black holes under these perturbations

Provided a framework for analyzing string-theoretic corrections in black hole stability

Abstract

We compute the tensorial perturbations to a general spherically symmetric metric in d dimensions with string-theoretical corrections quadratic in the Riemann tensor, from which we derive their respective potential. We use this result to study the stability of corresponding black hole solutions under such perturbations.