Perturbation theory and stability analysis for string-corrected black holes in arbitrary dimensions

TL;DR

This paper develops a perturbation theory for string-corrected black holes in arbitrary dimensions, deriving the master equation and analyzing their stability under tensorial perturbations.

Contribution

It introduces a new perturbation framework for R^2 string-corrected black holes and assesses their stability in any number of dimensions.

Findings

Derived the master equation for tensorial perturbations.

Obtained the alpha'-corrected potential for these black holes.

Analyzed the stability of the Callan, Myers, and Perry solution.

Abstract

We develop the perturbation theory for R^2 string-corrected black hole solutions in d dimensions. After having obtained the master equation and the alpha'-corrected potential under tensorial perturbations of the metric, we study the stability of the Callan, Myers and Perry solution under these perturbations.