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GR: Fachverband Gravitation und Relativitätstheorie

GR 1: Schwarze Löcher I

GR 1.4: Talk

Monday, February 25, 2013, 14:45–15:00, HS 6

Van der Waals behavior and gauge/gravity duality — •Antonia Micol Frassino — Frankfurt Institute for Advanced Studies, Goethe University, Frankfurt am Main

We study a specific solution of the Einstein’s equations generated by a self–gravitating, anisotropic fluid type matter. We analyse the critical behaviour of this Schwarzschild–like solution in Anti–de Sitter space spacetime showing that exists an extension of the Hawking–Page transition into a van der Waals–like phase diagram. In this analysis we consider the cosmological constant as a dynamical quantity and its variation is included in the first law of black hole thermodynamics. We do explicit calculations in the case of space dimensions n = 3. Then we generalize to generic n dimensions.