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On the uniqueness and global dynamics of AdS spacetimes

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arxiv hep-th/0605293 v3 pith:I3KHONEH submitted 2006-05-31 hep-th gr-qcmath.DG

classification hep-thgr-qcmath.DG
keywords spacetimesstationaryasymptoticallyglobalgloballyuniquenessarbitraryaspects
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On turbulence for spacetimes with stable trapping

    gr-qc 2024-11 conditional novelty 7.0 of 10

    On a fixed spacetime with stable trapping, the cubic wave equation produces a forward angular-mode cascade and growth of higher-order derivatives, behavior absent for linear waves.

  2. Radiation in Fluid/Gravity and the Flat Limit

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

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