Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity

Abstract

Effective models of gravitational collapse in loop quantum gravity for the Lemaître-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.

12 pages, 1 figure. v2: Clarifications and references added

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Cited by in corpus (17)

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• Gravitational collapse in effective loop quantum gravity: beyond marginally bound configurations
• Black Hole Evaporation in Loop Quantum Gravity
• Stellar collapse with pressure in effective loop quantum gravity
• Formation of nonsingular spherical black holes with holonomy corrections
• Lessons for loop quantum gravity from emergent modified gravity
• Causal structure of nonhomogeneous dust collapse in effective loop quantum gravity
• On weak solutions in Einstein theory and beyond
• Quantum gravitational stellar evolution beyond shell-crossing singularities
• Shock waves in classical dust collapse
• Quantum dust collapse with cosmological constant and methods for constructing conformal diagrams
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• Gravitational Collapse of an Inhomogeneous Fluid in Rastall Theory
• Correction to Hawking radiation in non-singular gravitational collapse