On asymptotically AdS-like solutions of three dimensional massive gravity

TL;DR

This paper explores asymptotically AdS-like solutions in three-dimensional massive gravity with additional gauge and Chern-Simons terms, analyzing black hole properties and dual CFT central charges.

Contribution

It introduces new charged black hole solutions in extended massive gravity with Chern-Simons terms and computes their conserved charges and dual CFT central charges.

Findings

Found various nonextremal charged black holes with computed thermodynamic properties.

Confirmed central charge calculations via conserved charges and Cardy's formula.

Identified how different Chern-Simons terms affect dual CFT central charges.

Abstract

In this paper we have added Maxwell, Maxwell-Chern-Simons and gravitational Chern-Simons terms to Born-Infeld extended new massive gravity and we have found different types of (non)extremal charged black holes. For each black hole we find mass, angular momentum, entropy and temperature. Since our solutions are asymptotically AdS or warped-AdS, we infer central charges of dual CFTs by using Cardy's formula. Computing conserved charges associated to asymptotic symmetry transformations confirms calculation of central charges. For CFTs dual to asymptotically AdS solutions we find left central charges from Cardy's formula, while conserved charge approach gives both left and right central charges. For CFTs dual to asymptotically warped-AdS solutions, left and right central charges are equal when we have Maxwell-Chern-Simons term but they have different values when gravitational Chern-Simons term is included.