Towards a quantum Oppenheimer-Snyder model

Abstract

We present a consistent canonical formulation of the flat Oppenheimer-Snyder model, including the Schwarzschild exterior. The switching between comoving and stationary observer is realized by promoting the coordinate transformation between dust proper time and Schwarzschild-Killing time to a canonical one. This leads to two different forms of the Hamiltonian constraint, both (almost) deparameterizable with regard to one of these times. A preliminary quantization of these constraints reveals a consistent picture for both observers: the singularity is avoided by a bounce.

10 pages, 5 figures, reference added

References in corpus (4)

• The lifetime problem of evaporating black holes: mutiny or resignation
• Singularity Resolution in Loop Quantum Cosmology: A Brief Overview
• Singularity avoidance for collapsing quantum dust in the Lemaitre-Tolman-Bondi model
• Mutiny at the white-hole district

Cited by in corpus (1)

• Exteriors to bouncing collapse models