Three-dimensional black holes and descendants
Abstract
We determine the most general three-dimensional vacuum spacetime with a negative cosmological constant containing a non-singular Killing horizon. We show that the general solution with a spatially compact horizon possesses a second commuting Killing field and deduce that it must be related to the BTZ black hole (or its near-horizon geometry) by a diffeomorphism. We show there is a general class of asymptotically AdS extreme black holes with arbitrary charges with respect to one of the asymptotic-symmetry Virasoro algebras and vanishing charges with respect to the other. We interpret these as descendants of the extreme BTZ black hole.
Cite
@article{arxiv.1312.2626,
title = {Three-dimensional black holes and descendants},
author = {Carmen Li and James Lucietti},
journal= {arXiv preprint arXiv:1312.2626},
year = {2014}
}
Comments
10 pages. v2: general solution has second Killing field, changes and additions to reflect this, references added. v3: included analysis of non-extreme solution and discussion