SMuK 2021 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 8: Quantum field theory in curved spacetimes

GR 8.1: Vortrag

Donnerstag, 2. September 2021, 12:00–12:15, H9

Quantum fields near Cauchy horizons of charged black holes — •Christiane Klein, Jochen Zahn, and Stefan Hollands — Institut für theoretische Physik, Universität Leipzig, Germany

Reissner-Nordström-de Sitter spacetimes contain a Cauchy horizon: beyond it, the evolution of the spacetime is no longer governed solely by the initial data. A combination of analytical and numerical results indicate that there is a range of the physical parameter space for which the metric can be extended across the Cauchy horizon even when considering generic classical perturbations of the initial data. This is a violation of Penrose's strong cosmic censorship conjecture. However, it has been demonstrated by Hollands et.al., that in these cases the energy flux of a real scalar quantum field will diverge quadratically at the Cauchy horizon for any Hadamard state, rendering the metric inextendible. In this talk we present numerical results indicating that the described quadratic divergence of the energy flux is present for a wide range of parameters, and that it can change its sign. In addition, we extend the results by considering charged scalar fields. Apart from the energy flux, we derive and study the current of these fields. We demonstrate that the current diverges at the Cauchy horizon and that its leading divergence can have either sign, in contrast to naive expectations.

The talk is based on Phys.Rev.D 102 (2020) 8, 085004, arXiv:2104.06005 and arXiv:2103.03714, which is joint work with S. Hollands and J. Zahn.