The black holes of topologically massive gravity

TL;DR

This paper introduces a new family of black hole solutions in topologically massive gravity obtained through analytical continuation, analyzing their structure, physical properties, and thermodynamics.

Contribution

It presents a novel two-parameter family of black hole solutions in topologically massive gravity with detailed analysis of their global structure and thermodynamic properties.

Findings

Solutions are geodesically complete and causally regular within certain parameters.

No observers can remain static in these spacetimes.

Mass, angular momentum, and entropy satisfy a modified first law of thermodynamics.

Abstract

We show that an analytical continuation of the Vuorio solution to three-dimensional topologically massive gravity leads to a two-parameter family of black hole solutions, which are geodesically complete and causally regular within a certain parameter range. No observers can remain static in these spacetimes. We discuss their global structure, and evaluate their mass, angular momentum, and entropy, which satisfy a slightly modified form of the first law of thermodynamics.