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Quantum Oppenheimer-Snyder model

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arxiv 2004.02939 v2 pith:UJOLXNVV submitted 2020-04-06 gr-qc hep-th

Quantum Oppenheimer-Snyder model

classification gr-qc hep-th
keywords quantumobserverbounceexteriorminimalmodelobserversoppenheimer-snyder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct two reduced quantum theories for the Oppenheimer-Snyder model, respectively taking the point of view of the comoving and the exterior stationary observer, using affine coherent states quantization. Investigations of the quantum corrected dynamics reveal that both observers can see a bounce, although for the exterior observer certain quantization ambiguities have to be chosen correctly. The minimal radius for this bounce as seen from the stationary observer is then shown to always be outside of the photon sphere. Possible avenues to lower this minimal radius and reclaim black holes as an intermediate state in the collapse are discussed. We demonstrate further that switching between the observers at the level of the quantum theories can be achieved by modifying the commutation relations.

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