Asymptotic Schwarzschild Spacetimes

Abstract

It is shown that if an asymptotically flat spacetime is asymptotically stationary, in the sense that $\Lie_ξ g_{ab}$ vanishes at the rate $\sim t^{-3}$ for asymptotically timelike vector field ${\xi }^a$, and the energy-momentum tensor vanishes at the rate $\sim t^{-4}$, then the spacetime is an asymptotically Schwarzschild spacetime. This gives a new aspect of the uniqueness theorem of a black hole.

10 pages, no figures, submitted to J. Math. Phys

Cited by in corpus (2)

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