Kerr-Newman Black Holes with String Corrections

TL;DR

This paper investigates how higher-derivative string corrections influence Kerr-Newman black holes within $ ext{N}=2$ supergravity, revealing universal entropy modifications and simplified solutions due to supersymmetry, regardless of BPS or Schwarzschild limits.

Contribution

It demonstrates that Kerr-Newman black holes are solutions in $ ext{N}=2$ supergravity with higher-derivative corrections and derives universal entropy modifications.

Findings

Higher-derivative corrections modify black hole entropy universally.

Supersymmetry simplifies solutions despite black holes not being BPS.

Solutions are valid even in Schwarzschild limits.

Abstract

We study $\mathcal{N}=2$ supergravity with higher-derivative corrections that preserve the $\mathcal{N}=2$ supersymmetry and show that Kerr-Newman black holes are solutions to these theories. Modifications of the black hole entropy due to the higher derivatives are universal and apply even in the BPS and Schwarzschild limits. Our solutions and their entropy are greatly simplified by supersymmetry of the theory even though the black holes generally do not preserve any of the supersymmetry.