Quadratic Curvature Correction to 5D Myers-Perry Metric

TL;DR

This paper investigates quadratic curvature perturbations to the five-dimensional Myers-Perry black hole, deriving higher-order solutions and analyzing their impact on black hole thermodynamics, confirming results with established methods.

Contribution

It provides a systematic higher-order perturbative solution for quadratic curvature corrections to 5D Myers-Perry black holes and explores their thermodynamic implications.

Findings

Perturbed solutions computed up to tenth order in angular momentum parameters.

Higher-derivative corrections to black hole thermodynamics derived.

Results agree with the Reall-Santos method.

Abstract

We consider quadratic curvature perturbation to the Myers-Perry black hole in five dimensions at the linear level in the coupling constant. The solution can then be solved order by order in terms of two dimensionless angular momentum parameters up to an arbitrary order. We present the results up to tenth order. The perturbed solution allows us to obtain the higher-derivative correction to the black hole thermodynamics, which we find is in complete agreement with the Reall-Santos method.