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Summary:
ON THE UNIQUENESS AND GLOBAL DYNAMICS OF ADS SPACETIMES
MICHAEL T. ANDERSON
Abstract.We study global aspects of complete, non-singular asymptotically*
* locally AdS space-
times solving the vacuum Einstein equations whose conformal infinity is a*
*n arbitrary globally sta-
tionary spacetime. It is proved that any such solution which is asymptoti*
*cally stationary to the
past and future is itself globally stationary.
This gives certain rigidity or uniqueness results for exact AdS and rel*
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