Mass and Angular momentum of Black Holes in New Massive Gravity

TL;DR

This paper calculates the mass and angular momentum of black holes in three-dimensional new massive gravity, confirming their expressions via multiple methods and validating the first law of thermodynamics for these black holes.

Contribution

It provides explicit formulas for conserved charges in new massive gravity and discusses their consistency with the AdS/CFT correspondence.

Findings

Mass and angular momentum expressions confirmed

First law of thermodynamics validated for these black holes

Comments on conserved charges in new type black holes

Abstract

We obtain mass and angular momentum of black holes as conserved charges in three dimensional new massive gravity, after presenting the explicit expression for the potential of the conserved charges. This confirms the expression of those charges obtained in several ways, in particular through AdS/CFT correspondence, and shows us that the first law of black hole thermodynamics is valid in these black holes. We also comment about conserved charges in new type black holes with the emphasis on the AdS/CFT correspondence as guiding principle.