München 2019 – wissenschaftliches Programm

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GR: Fachverband Gravitation und Relativitätstheorie

GR 8: Quantum Cosmology and Quantum Gravity I

GR 8.2: Vortrag

Mittwoch, 20. März 2019, 14:45–15:00, HS 4

Singularity Avoidance of the Quantum LTB Model for Gravitational Collapse — •Tim Schmitz and Claus Kiefer — Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany

We quantize the marginally bound Lemaître--Tolman--Bondi model for spherically symmetric dust collapse by considering each dust shell in it individually, taking the outermost shell as a stand-in for every other one. Because the dust naturally provides a preferred notion of time, one can construct a quantum theory for this shell analogously to ordinary quantum mechanics, and impose unitary evolution. It then generically avoids the classical singularity, provided the quantization ambiguities fulfill some (weak) conditions. We demonstrate that the collapse to a singularity is replaced by a bounce. Finally we construct a quantum corrected spacetime describing bouncing dust collapse and discuss some of its properties, for example the black hole lifetime.