Towards a quantum Oppenheimer-Snyder model

Abstract

We present a consistent canonical formulation of the flat Oppenheimer-Snyder model, including the Schwarzschild exterior. The switching between comoving and stationary observer is realized by promoting the coordinate transformation between dust proper time and Schwarzschild-Killing time to a canonical one. This leads to two different forms of the Hamiltonian constraint, both (almost) deparameterizable with regard to one of these times. A preliminary quantization of these constraints reveals a consistent picture for both observers: the singularity is avoided by a bounce.

10 pages, 5 figures, reference added

References in corpus (24)

• Dust as a Standard of Space and Time in Canonical Quantum Gravity
• Geometrodynamics of Schwarzschild Black Holes
• Black hole fireworks: quantum-gravity effects outside the horizon spark black to white hole tunneling
• Planck stars
• Non-singular quantum-inspired gravitational collapse
• Classical collapse to black holes and quantum bounces: A review
• Realistic Observable in Background-Free Quantum Gravity: the Planck-Star Tunnelling-Time
• The lifetime problem of evaporating black holes: mutiny or resignation
• Terminating black holes in asymptotically free quantum gravity
• Singularity Resolution in Loop Quantum Cosmology: A Brief Overview
• Singularity avoidance by collapsing shells in quantum gravity
• Singularity avoidance for collapsing quantum dust in the Lemaitre-Tolman-Bondi model
• Quantum superposition principle and gravitational collapse: Scattering times for spherical shells
• Classical and quantum LTB model for the non-marginal case
• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Black holes turn white fast, otherwise stay black: no half measures
• Lagrangian and Hamiltonian formalism for discontinuous fluid and gravitational field
• Unitary dynamics of spherical null gravitating shells
• Mutiny at the white-hole district
• Exponential fading to white of black holes in quantum gravity
• Quantum theory of gravitational collapse (lecture notes on quantum conchology)
• Characteristic Time Scales for the Geometry Transition of a Black Hole to a White Hole from Spinfoams
• Unitary evolution of the quantum universe with a Brown-Kuchar dust
• Hamiltonian formalism for the Oppenheimer-Snyder model

Cited by in corpus (16)

• Black hole collapse and bounce in effective loop quantum gravity
• On the fate of quantum black holes
• Bouncing compact objects I: Quantum extension of the Oppenheimer-Snyder collapse
• Quantum Oppenheimer-Snyder model
• Gravitational collapse in effective loop quantum gravity: beyond marginally bound configurations
• Effective Quantum Dust Collapse via Surface Matching
• From classical to quantum Oppenheimer-Snyder model: non-marginal case
• Exteriors to bouncing collapse models
• Non-Singular Gravitational Collapse through Modified Heisenberg Algebra
• Quantum oscillations in the black hole horizon
• Infrared signatures of quantum bounce in a minisuperspace analysis of Lema\^ıtre-Tolman-Bondi dust collapse
• Hamiltonian formulation of dust cloud collapse
• Quantum potential in dust collapse with a negative cosmological constant
• Quantum theory of the Lemaitre model for gravitational collapse
• Effective Quantum Gravitational Collapse in a Polymer Framework
• Entanglement entropy evolution during gravitational collapse