A rigidity property of asymptotically simple spacetimes arising from conformally flat data

Details A rigidity property of asymptotically simple spacetimes arising from conformally flat data A rigidity property of asymptotically simple spacetimes arising from conformally flat data

2009-06-25

arxiv.org/abs/0906.4714v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages

Scientific paper

Given a time symmetric initial data set for the vacuum Einstein field equations which is conformally flat near infinity, it is shown that the solutions to the regular finite initial value problem at spatial infinity extend smoothly through the critical sets where null infinity touches spatial infinity if and only if the initial data coincides with Schwarzschild data near infinity.

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