The BTZ black hole as a Lorentz-flat geometry
General Relativity and Quantum Cosmology
2015-12-30 v1 High Energy Physics - Theory
Abstract
It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The result can be naturally extended to a wider class of black hole geometries and point particles in three-dimensional spacetime.
Cite
@article{arxiv.1405.6657,
title = {The BTZ black hole as a Lorentz-flat geometry},
author = {Pedro D. Alvarez and Pablo Pais and Eduardo Rodriguez and Patricio Salgado-Rebolledo and Jorge Zanelli},
journal= {arXiv preprint arXiv:1405.6657},
year = {2015}
}
Comments
2 pages