On the uniqueness and global dynamics of AdS spacetimes
High Energy Physics - Theory
2009-11-11 v3 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
We study global aspects of complete, non-singular asymptotically locally AdS spacetimes solving the vacuum Einstein equations whose conformal infinity is an arbitrary globally stationary spacetime. It is proved that any such solution which is asymptotically stationary to the past and future is itself globally stationary. This gives certain rigidity or uniqueness results for exact AdS and related spacetimes.
Keywords
Cite
@article{arxiv.hep-th/0605293,
title = {On the uniqueness and global dynamics of AdS spacetimes},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:hep-th/0605293},
year = {2009}
}
Comments
18pp, significant revision of v1