Dyonic black holes from dimensional reduction of five-dimensional Einstein-Gauss-Bonnet gravity

TL;DR

This paper explores black hole solutions in a dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity, revealing unique features such as extremal mass in neutral cases and altered thermodynamics.

Contribution

It introduces new black hole solutions in a modified gravity theory with nonlinear corrections and nontrivial couplings, extending previous Kaluza-Klein models.

Findings

Existence of extremal mass for neutral black holes.

Extremal black holes have nonzero temperature and entropy.

Solutions differ from standard Kaluza-Klein black holes.

Abstract

We study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and nontrivial couplings. The solutions can be classified through mass and electric and magnetic charge. They present peculiar features with respect to the solutions of the standard Kaluza-Klein theory without Gauss-Bonnet corrections, like the existence of an extremal mass even in the neutral case. Also the thermodynamics is affected, for example, extremal black holes display nonvanishing temperature and entropy.