16–21 Jun 2024
Europe/Zurich timezone

Quantum theory of the Lemaitre model for gravitational collapse

17 Jun 2024, 10:20
40m

Speaker

Claus Kiefer (U)

Description

In 1933, Georges Lemaître published a solution of Einstein's equation describing spherically symmetric dust clouds. This is nowadays often called the Lemaître-Tolman-Bondi (LTB) solution and used, in particular, to describing the gravitational collapse of a dust cloud. In my talk, I shall discuss the quantization of this model. A full theory of quantum gravity is not yet available, but insights into the quantum behaviour of dust collapse can come from concrete approaches - here, the direct canonical quantization of Einstein's theory is employed. I shall present the essentials of the formalism and focus on two main applications: Hawking radiation and singularity avoidance. I shall show that Hawking radiation can be recovered from the quantum wave functionals and that the classical singularity can be avoided in certain situations, replacing it by a bounce from collapse to expansion. In this way, Lemaître's old model continues to be fruitful for both fundamental physics and astrophysical applications.

Presentation materials