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Singularity avoidance by collapsing shells in quantum gravity
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We discuss a model describing exactly a thin spherically symmetric shell of matter with zero rest mass. We derive the reduced formulation of this system in which the variables are embeddings, their conjugate momenta, and Dirac observables. A non-perturbative quantum theory of this model is then constructed, leading to a unitary dynamics. As a consequence of unitarity, the classical singularity is fully avoided in the quantum theory.
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Regular black holes from thin-shell collapse
In D≥5 pure gravity with an infinite tower of higher-curvature terms, spherical thin-shell collapse generically produces regular black holes that bounce into new universes.
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