Slowly rotating charged black holes in anti-de Sitter third order Lovelock gravity

TL;DR

This paper derives slowly rotating charged black hole solutions in third order Lovelock gravity within anti-de Sitter space, analyzing their thermodynamic properties and electromagnetic characteristics, with findings on the invariance of the gyromagnetic ratio.

Contribution

It provides the first exact solutions for slowly rotating charged black holes in third order Lovelock gravity and examines their thermodynamic and electromagnetic properties.

Findings

Rotation does not affect mass, temperature, and entropy at linear order.

Gyromagnetic ratio remains unchanged with Lovelock corrections.

Charged black holes exhibit magnetic dipole moments and specific gyromagnetic ratios.

Abstract

In this paper, we study slowly rotating black hole solutions in Lovelock gravity (n=3). These exact slowly rotating black hole solutions are obtained in uncharged and charged cases, respectively. Up to the linear order of the rotating parameter a, the mass, Hawking temperature and entropy of the uncharged black holes get no corrections from rotation. In charged case, we compute magnetic dipole moment and gyromagnetic ratio of the black holes. It is shown that the gyromagnetic ratio keeps invariant after introducing the Gauss-Bonnet and third order Lovelock interactions.