Stationary Black Holes in a Generalized Three-Dimensional Theory of Gravity

TL;DR

This paper explores a generalized 3D gravity theory with a graviton and dilaton, generating stationary black hole solutions from static ones, and analyzing their properties including mass, angular momentum, and causal structure.

Contribution

It introduces a method to generate stationary black holes in a generalized 3D gravity theory and computes their physical properties.

Findings

Stationary black holes are locally equivalent but globally distinct from static solutions.

Mass and angular momentum are computed using an extended formalism.

The causal structure of these black holes is characterized.

Abstract

We consider a generalized three-dimensional theory of gravity which is specified by two fields, the graviton and the dilaton, and one parameter. This theory contains, as particular cases, three-dimensional General Relativity and three-dimensional String Theory. Stationary black hole solutions are generated from the static ones using a simple coordinate transformation. The stationary black holes solutions thus obtained are locally equivalent to the corresponding static ones, but globally distinct. The mass and angular momentum of the stationary black hole solutions are computed using an extension of the Regge and Teitelboim formalism. The causal structure of the black holes is described.