Berlin 2014 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 13: Classical theory of General Relativity III

GR 13.2: Talk

Tuesday, March 18, 2014, 16:50–17:10, SPA SR220

An exact static two-mass solution using Nariai spacetime — •Michael Fennen and Domenico Giulini — ZARM, University of Bremen

If we try to construct a globally static, spherically symmetric, closed spacetime with two identical masses and the topology of a 3-sphere, it is known not to be possible by gluing together two Schwarzschild-De Sitter spacetimes without a separating horizon between the masses or non-static regions. However, in this talk we show that we can construct an exact two-mass solution by embedding two identical stars of constant density into Nariai spacetime. The resulting spacetime has all the desired properties and does not contain a horizon. A generalization to charged stars is possible, at least for low charges.