Uniqueness of the asymptotic AdS3 geometry
General Relativity and Quantum Cosmology
2009-10-31 v4 High Energy Physics - Theory
Abstract
We explicitly show that in (2+1) dimensions the general solution of the Einstein equations with negative cosmological constant on a neigbourhood of timelike spatial infinity can be obtained from BTZ metrics by coordinate transformations corresponding geometrically to deformations of their spatial infinity surface. Thus, whatever the topology and geometry of the bulk, the metric on the timelike extremities is BTZ.
Keywords
Cite
@article{arxiv.gr-qc/0011005,
title = {Uniqueness of the asymptotic AdS3 geometry},
author = {M. Rooman and Ph. Spindel},
journal= {arXiv preprint arXiv:gr-qc/0011005},
year = {2009}
}
Comments
LaTeX, 8 pages, no figures, version that will appear in Class. Quant. Grav