Warped AdS_3 Black Holes in Higher Derivative Gravity Theories

TL;DR

This paper demonstrates that warped AdS_3 black holes in various higher derivative gravity theories exhibit entropy consistent with warped conformal field theory predictions, extending previous results to more general theories.

Contribution

It proves the entropy matching for warped AdS_3 black holes in the broadest class of higher derivative gravity theories, generalizing prior specific cases.

Findings

Entropy of warped AdS_3 black holes matches Cardy-like formulas.

Asymptotic symmetry group includes Virasoro and u(1) Kac-Moody algebras.

Phase transitions are discussed in the context of these black holes.

Abstract

We consider warped AdS_3 black holes in generic higher derivatives gravity theories in 2+1 dimensions. The asymptotic symmetry group of the phase space containing these black holes is the semi-direct product of a centrally extended Virasoro algebra and an affine u(1) Kac-Moody algebra. Previous works have shown that in some specific theories, the entropy of these black holes agrees with a Cardy-like entropy formula derived for warped conformal field theories. In this paper, we show that this entropy matching continues to hold for the most general higher derivative theories of gravity. We also discuss the existence of phase transitions.