Asymptotically Schwarzschild spacetimes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asymptotic Structure, Relativity And Gravitation

Scientific paper

It is shown that if an asymptotically flat spacetime is asymptotically stationary, in the sense that #ξgab vanishes at the rate ~t-3 for asymptotically timelike vector field ξa, and the energy-momentum tensor vanishes at the rate ~t-4, then the spacetime is an asymptotically Schwarzschild spacetime.

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