Thermodynamics of Slowly Rotating Charged Black Holes in anti-de Sitter Einstein-Gauss-Bonnet Gravity

TL;DR

This paper derives analytic expressions for slowly rotating charged black holes in Einstein-Gauss-Bonnet gravity with anti-de Sitter space, showing that rotation does not affect mass, temperature, or entropy at linear order.

Contribution

It provides the first analytic solutions for slowly rotating charged black holes in Einstein-Gauss-Bonnet gravity with a negative cosmological constant, revealing no first-order rotational corrections to key thermodynamic quantities.

Findings

Mass, temperature, and entropy are unaffected by slow rotation at linear order.

Analytic expressions for slowly rotating charged black holes are obtained.

Rotation does not alter thermodynamic properties at the linear approximation.

Abstract

By using a new approach, we demonstrate analytic expressions for slowly rotating Gauss-Bonnet charged black holes with negative cosmological constant. Up to the linear order of the rotating parameter a, the mass, Hawking temperature and entropy of the charged black holes get no corrections from rotation.