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Global extensions of spacetimes describing asymptotic final states of black holes

Global extensions of spacetimes describing asymptotic final states of black holes

We consider a globally hyperbolic, stationary spacetime containing a black hole but no white hole. We assume, further, that the event horizon, $\tn$, of the black hole is a Killing horizon with compact cross-sections. We prove that if surface gravity is non-zero constant throughout the horizon one can {\it globally} …