# Higher derivative corrections to Kerr black hole thermodynamics

## TL;DR

This paper analytically computes how higher derivative terms in an effective gravity theory modify the thermodynamics of Kerr black holes, revealing sign-dependent entropy corrections from six and eight derivative terms.

## Contribution

It provides explicit calculations of thermodynamic corrections to Kerr black holes due to six and eight derivative gravitational terms, clarifying their impact on entropy.

## Key findings

- Eight derivative terms increase entropy with appropriate coefficients.
- Six derivative terms produce indefinite entropy corrections.
- Analytic expressions for thermodynamic corrections are derived.

## Abstract

In an effective field theory approach to gravity, the Einstein-Hilbert action is supplemented by higher derivative terms. In the absence of matter, four derivative terms can be eliminated by a field redefinition. We use the Euclidean action to calculate analytically the corrections to thermodynamic quantities of the Kerr solution arising from terms with six or eight derivatives. The eight derivative terms make a non-negative correction to the entropy (at fixed mass and angular momentum) if their coefficients have appropriate signs. The correction from the six derivative terms does not have a definite sign.