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Uniqueness of photon spheres in static vacuum asymptotically flat spacetimes

Published 20 Jun 2014 in math.DG, gr-qc, and math.AP | (1406.5475v2)

Abstract: Adapting Israel's proof of static black hole uniqueness, we show that the Schwarzschild spacetime is the only static vacuum asymptotically flat spacetime that possesses a suitably defined photon sphere.

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