Note on WAdS$_3$ black holes in extended BHT gravity

TL;DR

This paper investigates WAdS3 black holes within an extended BHT gravity framework, calculating their thermodynamic properties and dual CFT central charges using covariant phase space and thermodynamics methods.

Contribution

It introduces a higher-derivative, holographically invariant extension of BHT gravity and computes key black hole and dual CFT parameters within this new model.

Findings

Calculated entropy, mass, and angular momentum of WAdS3 black holes.

Derived central charges of dual boundary CFTs.

Extended BHT gravity remains ghost-free and holographically consistent.

Abstract

In this letter, we study a holographic diffeomorphism invariant higher-derivative extension of Bergshoeff-Hohm-Townsend (BHT) cosmological gravity in the context of Wald's formalism. We calculate the entropy, mass and angular momentum of warped anti-de Sitter (WAdS$_3$) black holes in ghost-free BHT massive gravity and its extension using the covariant phase space method. We also compute the central charges of the dual boundary conformal field theories (CFT) from the thermodynamics method.