On the uniqueness and global dynamics of AdS spacetimes

Details On the uniqueness and global dynamics of AdS spacetimes On the uniqueness and global dynamics of AdS spacetimes

2006-05-31

arxiv.org/abs/hep-th/0605293v3

Class.Quant.Grav.23:6935-6954,2006

Physics

High Energy Physics

High Energy Physics - Theory

18pp, significant revision of v1

Scientific paper

10.1088/0264-9381/23/23/021

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.

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