General formulas for conserved charges and black hole entropy in Chern-Simons-like theories of gravity

TL;DR

This paper develops a general method to define off-shell conserved charges in Chern-Simons-like theories of gravity, including applications to generalized minimal massive gravity, aiding the analysis of 3D gravity models.

Contribution

It introduces a universal formula for conserved charges in CSLTG, applicable to a wide class of theories, and verifies it with specific examples like GMMG.

Findings

Reproduces known results for central charge and black hole entropy in GMMG.

Provides a consistent method for conserved charges in 3D gravity theories.

Applicable to almost all CSLTG models.

Abstract

This paper deals with the problem of defining off-shell conserved charges in a set of theories known as Chern-Simons-like theories of gravity (CSLTG). The method is derived in a general way, which may find applications in a wide set of theories, and then specified to the case of Generalized minimal massive gravity (GMMG), where known results of the central charge and black hole entropy are reproduced. The results for the charges are useful to the community and can be applied to all three-dimensional gravity theories within the class of CSLTG which includes almost all of them. The given specific examples show a consistency check of the more general method.