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GR: Fachverband Gravitation und Relativitätstheorie

GR 5: Classical General Relativity I

GR 5.1: Invited Talk

Tuesday, March 1, 2016, 13:45–14:25, VMP6 HS A

Static vacuum photon spheres have no hair — •Carla Cederbaum — University of Tübingen, Germany

We will present two different mathematical proofs showing that the Schwarzschild spacetime is the only static vacuum asymptotically flat general relativistic spacetime that possesses a suitably geometrically defined photon sphere. In other words, we will show that static (vacuum) photon spheres have no hair. We will also discuss generalizations to the electrovacuum case as well as to higher spacetime dimensions.

The proofs extend classical static black hole uniqueness results. Part of this work is joint with Gregory Galloway.