Towards a quantum Oppenheimer-Snyder model

Tim Schmitz

Towards a quantum Oppenheimer-Snyder model

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arxiv 1912.08175 v2 pith:FJVILF2O submitted 2019-12-17 gr-qc hep-th

Tim Schmitz This is my paper · ORCID

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keywords canonicalconsistentmodeloppenheimer-snydertimealmostavoidedbounce

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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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Asymmetric Quantum Oppenheimer-Snyder Collapse
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Asymmetric loop-quantum-cosmology collapse of a dust ball yields a geodesically complete, bouncing regular black hole spacetime with a C^0 shock at the dust surface and two joined vacuum geometries.

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