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Home » MGR Programmatic Seminar: Some mathematical aspects of the Hawking effect for rotating black holes

Seminar

MGR Programmatic Seminar: Some mathematical aspects of the Hawking effect for rotating black holes December 05, 2013 (01:30 PM PST - 02:30 PM PST)
Parent Program: Mathematical General Relativity
Location: MSRI: Simons Auditorium
Speaker(s) Dietrich Hafner (Université de Grenoble I (Joseph Fourier))
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The aim of this talk is to give a mathematically rigourous description of the Hawking effect for fermions in the setting of the collapse of a rotating charged star. We show that an observer who is located far away from the star and at rest with respect to the Boyer Lindquist coordinates observes the emergence of a thermal state when his proper time goes to infinity. We first introduce a model of the collapse of the star. We suppose that the spacetime outside the star is given by the Kerr-Newman metric. The assumptions on the asymptotic behavior of the surface of the star are inspired by the asymptotic behavior of certain timelike geodesics in the Kerr-Newman metric. The Dirac equation is then written using coordinates and a Newman-Penrose tetrad which are adapted to the collapse. This coordinate system and tetrad are based on the so called simple null geodesics. The quantization of Dirac fields in a globally hyperbolic space-time is described. We formulate and prove a theorem about the Hawking effect in this setting.

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