Spinning Black Holes in (2+1)-dimensional String and Dilaton Gravity

TL;DR

This paper introduces a new class of spinning black hole solutions in (2+1)-dimensional gravity coupled with a dilaton field, extending known solutions like BTZ black holes and analyzing their physical properties.

Contribution

The paper presents novel spinning black hole solutions in (2+1)D string and dilaton gravity with specific potential, including cases with no inner horizon and a singularity at the origin.

Findings

Solutions have no inner horizon, unlike BTZ black holes.

The solutions exhibit a curvature singularity at the origin.

Mass, angular momentum, temperature, and entropy are computed for these black holes.

Abstract

We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$. When $b=4$, the corresponding spinning black hole is a solution of low energy $(2+1)$-dimensional string gravity. Apart from the limiting case of the $BTZ$ black hole, these spinning black holes have no inner horizon and a curvature singularity only at the origin. We compute the mass and angular momentum parameters of the solutions at spatial infinity, as well as their temperature and entropy.