Effective LQG-inspired dynamics of a thin shell and the fate of a collapsing star
arXiv:2509.04945 · doi:10.1103/hj85-317t
Abstract
Effective models inspired by loop quantum gravity typically resolve the central singularity by replacing it with a bounce of the matter density in the Planckian regime. In the specific model analyzed here, this bounce is generally followed by the formation of shell-crossing singularities. The purpose of this work is to provide a physically meaningful extension of spacetime beyond the shell-crossing singularity. To this end, we derive the dynamics of a dust thin shell within the effective Hamiltonian framework. The motion of the shell remains timelike throughout: after undergoing a quantum-gravitational bounce, it expands and eventually emerges from the white-hole vacuum region.
References in corpus (35)
- Quantum Nature of the Big Bang: Improved dynamics
- Loop Quantum Cosmology
- Black hole fireworks: quantum-gravity effects outside the horizon spark black to white hole tunneling
- Planck stars
- White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
- Loop Quantum Cosmology: An Overview
- Quantum Oppenheimer-Snyder and Swiss Cheese models
- From black holes to white holes: a quantum gravitational, symmetric bounce
- Classical collapse to black holes and quantum bounces: A review
- Effective loop quantum gravity framework for vacuum spherically symmetric space-times
- Realistic Observable in Background-Free Quantum Gravity: the Planck-Star Tunnelling-Time
- Fast Radio Bursts and White Hole Signals
- The lifetime problem of evaporating black holes: mutiny or resignation
- Planck star phenomenology
- Black hole collapse and bounce in effective loop quantum gravity
- Hamiltonian Treatment of the Gravitational Collapse of Thin Shells
- On the geometry of the black-to-white hole transition within a single asymptotic region
- Classical and Quantum Shell Dynamics, and Vacuum Decay
- Lagrangian and Hamiltonian formalism for discontinuous fluid and gravitational field
- Mutiny at the white-hole district
- Bouncing compact objects I: Quantum extension of the Oppenheimer-Snyder collapse
- Phenomenology of bouncing black holes in quantum gravity: a closer look
- Dynamical Singularity Resolution in Spherically Symmetric Black Hole Formation
- Dynamical extensions for shell-crossing singularities
- Semiclassical dynamics of horizons in spherically symmetric collapse
- Gravitational collapse in loop quantum gravity
- Status of Birkhoff's theorem in polymerized semiclassical regime of Loop Quantum Gravity
- Gravitational collapse in effective loop quantum gravity: beyond marginally bound configurations
- Shell-crossings and shock formation during gravitational collapse in effective loop quantum gravity
- Painlevé-Gullstrand coordinates discontinuity in the quantum Oppenheimer-Snyder model
- Rainbow Oppenheimer-Snyder collapse and the entanglement entropy production
- The instability of the inner horizon of the quantum-corrected black hole
- Stellar collapse with pressure in effective loop quantum gravity
- Causal structure of nonhomogeneous dust collapse in effective loop quantum gravity
- On weak solutions in Einstein theory and beyond