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GR: Fachverband Gravitation und Relativitätstheorie

GR 2: Quantengravitation und Quantenkosmologie

GR 2.1: Talk

Monday, March 9, 2009, 18:00–18:20, A214

Classical and quantum gravitational collapse in the Lemaitre-Tolman-Bondi model with positive cosmological constant — •Anne Franzen¹, Sashideep Gutti², and Claus Kiefer¹ — ¹Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany — ²Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

We develop the canonical theory of gravitational collapse for the Lemaitre-Tolman-Bondi model with a positive cosmological constant.

We present the classical canonical formalism and adress the boundary terms in the action. Quantizing the constraints we obtain the Wheeler-deWitt equation. Employing a lattice regularization, we derive exact solutions to all quantum constraints.

We employ these solutions and a general relation between dust time and Killing time to derive the Hawking temperature at the cosmological horizon and at the black hole horizon of the Schwarzschild-de Sitter spacetime. We obtain approximate Planck spectra near the horizons.