Asymptotic Schwarzschild Spacetimes

Details Asymptotic Schwarzschild Spacetimes Asymptotic Schwarzschild Spacetimes

1998-10-11

arxiv.org/abs/gr-qc/9810040v1

J.Math.Phys. 40 (1999) 2021-2031

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1063/1.532848

It is shown that if an asymptotically flat spacetime is asymptotically stationary, in the sense that $\Lie_{\xi} g_{ab}$ 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.

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