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Nonsingular Quantum Gravitational Dynamics Of An Lemaitre-Tolman-Bondi Dust Shell Model: The Role Of Quantization Prescriptions, Kristina Giesel, Bao-Fei Li, Parampreet Singh

Faculty Publications

We study some consequences of the loop quantization of the outermost dust shell in the LemaitreTolman-Bondi spacetime with a homogeneous dust density using different quantization strategies motivated by loop quantum gravity. Prior work has dealt with loop quantizing this model by employing holonomies and the triads, following the procedure in standard loop quantum cosmology. In this work we compare this quantization with the one in which holonomies and gauge-covariant fluxes are used. While both of the quantization schemes resolve the central singularity, they lead to different mass gaps at which a trapped surface forms. This trapped surface which is matched …