On asymptotic charges in 3D gravity

TL;DR

This paper applies a variant of the ADT method to compute asymptotic charges in 3D gravity theories, analyzing the BTZ black hole and asymptotic symmetries, with implications for black hole thermodynamics.

Contribution

It introduces a modified ADT approach for 3D gravity and computes conserved charges for various models, clarifying discrepancies with some recent results.

Findings

Consistent mass and angular momentum calculations for BTZ black holes across multiple 3D gravity models.

Derivation of central charges for asymptotic conformal symmetry in generic 3D gravity with AdS vacuum.

Discussion of thermodynamic implications based on asymptotic charge analysis.

Abstract

A variant of the ADT method for the determination of gravitational charges as integrals at infinity is applied to "Chern-Simons-like" theories of 3D gravity, and the result is used to find the mass and angular momentum of the BTZ black hole considered as a solution of a variety of massive 3D gravity field equations. The results agree with many obtained previously by other methods, including our own results for "Minimal Massive Gravity", but they disagree with others, including recently reported results for "Exotic Massive Gravity". We also find the central charges of the asymptotic conformal symmetry algebra for the generic 3D gravity model with AdS vacuum and discuss implications for black hole thermodynamics.