Rotating Gauss-Bonnet BTZ Black Holes

TL;DR

This paper introduces new rotating black hole solutions in 3D Gauss-Bonnet gravity that extend BTZ black holes, analyze their properties, and explore higher-dimensional analogs like rotating black strings.

Contribution

It presents the first rotating solutions in 3D Gauss-Bonnet gravity, generalizing BTZ black holes and analyzing their thermodynamics and higher-dimensional extensions.

Findings

Solutions possess an ergoregion and outer horizon but no inner horizon.

They break the universality of thermodynamics seen in static charged solutions.

Higher-dimensional rotating black strings are also constructed.

Abstract

We obtain rotating black hole solutions to the novel 3D Gauss-Bonnet theory of gravity recently proposed. These solutions generalize the BTZ metric and are not of constant curvature. They possess an ergoregion and outer horizon, but do not have an inner horizon. We present their basic properties and show that they break the universality of thermodynamics present for their static charged counterparts, whose properties we also discuss. Extending our considerations to higher dimensions, we also obtain novel 4D Gauss-Bonnet rotating black strings.