The Black Holes of a General Two-Dimensional Dilaton Gravity Theory

TL;DR

This paper explores a comprehensive two-dimensional dilaton gravity theory that encompasses various known models, revealing diverse black hole solutions with different singularity structures and methods to evaluate their ADM mass.

Contribution

It introduces a unified framework for 2D dilaton gravity theories with a new parameter, analyzing their black hole solutions and singularity types, extending previous models.

Findings

Multiple black hole solutions with different singularity types

Existence of solutions without singularities

Method for ADM mass evaluation in these models

Abstract

A general dilaton gravity theory in 1+1 spacetime dimensions with a cosmological constant $\lambda$ and a new dimensionless parameter $\omega$, contains as special cases the constant curvature theory of Teitelboim and Jackiw, the theory equivalent to vacuum planar General Relativity, the first order string theory, and a two-dimensional purely geometrical theory. The equations of this general two-dimensional theory admit several different black holes with various types of singularities. The singularities can be spacelike, timelike or null, and there are even cases without singularities. Evaluation of the ADM mass, as a charge density integral, is possible in some situations, by carefully subtrating the black hole solution from the corresponding linear dilaton at infinity.