München 2019 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 10: Gravitation, Felder und Schwarze Löcher
MP 10.1: Vortrag
Donnerstag, 21. März 2019, 11:00–11:20, HS 23
Temperature of quantum matter near spherically symmetric apparent horizons — •Felix Kurpicz1,2, Nicola Pinamonti3,4, and Rainer Verch2 — 1Max-Planck-Institute for Mathematics in the Sciences (Leipzig) — 2Institute for Theoretical Physics, University of Leipzig — 3Dipartimento di Matematica, Università di Genova — 4Istituto Nazionale di Fisica Nucleare (Genova)
In this talk, we discuss the form taken by quantum matter fields in the proximity of the apparent horizon which is formed during a spherically symmetric gravitational collapse and/or black hole evaporation. Our analysis is performed by discussing the form of the two-point function of a Klein-Gordon field in an arbitrary Hadamard state. We present a suitable scaling procedure that leads to a thermal distribution along integral lines of the Kodama vector field, which prescribes a preferred time direction on spherically symmetric spacetimes.
The temperature of the thermal distribution depends on the point of the apparent horizon that is tested, thus allowing an analysis of kinematical temperature changes along the horizon. The effect is universal in the sense that it does not depend on any particular matter model or a specific Hadamard state. The thermal nature of the two-point function can also be related to the tunneling probabilitiy of particles (defined with respect to the Kodama field) across the horizon.