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Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity
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Effective models of gravitational collapse in loop quantum gravity for the Lema\^itre-Tolman-Bondi spacetime predict that collapsing matter reaches a maximum finite density, bounces, and then expands outwards. We show that in the marginally bound case, shell-crossing singularities commonly occur for inhomogeneous initial profiles of the dust energy density; this is the case in particular for all profiles that are continuous and of compact support, including configurations arbitrarily close to the Oppenheimer-Snyder model. When a shell-crossing singularity occurs, it is necessary to seek weak solutions to the dynamics; we argue that weak solutions typically contain shock waves.
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Cited by 3 Pith papers
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Asymmetric Quantum Oppenheimer-Snyder Collapse
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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Dust shell in effective loop quantum black hole model
In a polymerized loop-quantum-gravity black hole model, a collapsing dust shell bounces and, for sufficiently heavy shells, follows a spacelike trajectory through the horizon, implying a finite horizon lifetime and a ...
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Non-uniqueness of the shockwave dynamics in effective loop quantum gravity
In effective loop quantum gravity, an infinite family of mathematically equivalent collapse equations produce different weak solutions after shell crossing, so the predicted black hole lifetime (e.g., M^2, M^3, M^4) i...
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