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Asymptotic Schwarzschild Spacetimes

Uchida Gen·Tetsuya Shiromizu
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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 $ξ^a$, 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.

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Uchida Gen, Tetsuya Shiromizu. 1998-10-11. Asymptotic Schwarzschild Spacetimes. https://doi.org/10.1063/1.532848

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