Black holes with a null Killing vector in three-dimensional massive gravity

TL;DR

This paper explores various black hole solutions in three-dimensional massive gravity with null Killing vectors, including extremal BTZ, massless null warped, and log black holes, highlighting their unique properties and asymptotic behaviors.

Contribution

It identifies and characterizes new black hole solutions in massive gravity with null Killing vectors, including special cases like log black holes at critical coupling.

Findings

Existence of extremal BTZ black holes with null Killing vectors

Discovery of massless null warped black holes at specific coupling

Identification of log black holes asymptotic to extremal BTZ in log gravity

Abstract

We investigate solutions of new massive gravity with two commuting Killing vectors, one of which is null, with a special emphasis on black hole solutions. Besides extreme BTZ black holes and, for a special value of the coupling constant, massless null warped black holes, we also obtain for a critical coupling a family of massive "log" black holes. These are asymptotic to the extreme BTZ black holes in the sense of log gravity.