Birkhoff's Theorem for Three-Dimensional AdS Gravity
高能物理 - 理论
2016-08-16 v2 广义相对论与量子宇宙学
摘要
All three-dimensional matter-free spacetimes with negative cosmological constant, compatible with cyclic symmetry are identified. The only cyclic solutions are the 2+1 (BTZ) black hole with SO(2) x R isometry, and the self-dual Coussaert-Henneaux spacetimes, with isometry groups SO(2) x SO(2,1) or SO(2) x SO(2).
引用
@article{arxiv.hep-th/0403227,
title = {Birkhoff's Theorem for Three-Dimensional AdS Gravity},
author = {Eloy Ayón-Beato and Cristián Martínez and Jorge Zanelli},
journal= {arXiv preprint arXiv:hep-th/0403227},
year = {2016}
}
备注
11 pages, RevTeX4; minor typos corrected, Ref. added, accepted for publication in Phys. Rev. D