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arXiv · 1912.08175

Towards a quantum Oppenheimer-Snyder model

Tim Schmitz
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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.

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Tim Schmitz. 2019-12-17. Towards a quantum Oppenheimer-Snyder model. https://doi.org/10.1103/physrevd.101.026016

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