Warped black holes in 3D general massive gravity

TL;DR

This paper investigates regular spacelike warped black holes within a three-dimensional general massive gravity framework, deriving explicit metric parameters, central charges, and entropy, unifying previous results from related gravity models.

Contribution

It introduces a comprehensive analysis of warped black holes in general massive gravity, combining Chern-Simons and curvature squared terms, and provides explicit solutions and physical quantities.

Findings

Derived explicit metric parameters for warped black holes.

Calculated central charges and entropy expressions.

Unified previous results from topological and new massive gravity.

Abstract

We study regular spacelike warped black holes in the three dimensional general massive gravity model, which contains both the gravitational Chern-Simons term and the linear combination of curvature squared terms characterizing the new massive gravity besides the Einstein-Hilbert term. The parameters of the metric are found by solving a quartic equation constrained by an inequality that imposes the absence of closed timelike curves. Explicit expressions for the central charges are suggested by exploiting the fact that these black holes are discrete quotients of spacelike warped AdS(3) and a known formula for the entropy. Previous results obtained separately in topological massive gravity and in new massive gravity are recovered as special cases.