Non-local (but also non-singular) physics at the last stages of gravitational collapse
arXiv:1401.6182 · doi:10.1103/PhysRevD.89.044003
Abstract
We study the end stages of gravitational collapse of the thin shell of matter in ingoing Eddington-Finkelstein coordinates. We use the functional Schrodinger formalism to capture quantum effects in the near singularity limit. We find that that the equations of motion which govern the behavior of the collapsing shell near the classical singularity become strongly non-local. This reinforces previous arguments that quantum gravity in the strong field regime might be non-local. We managed to solve the non-local equation of motion for the dust shell case, and found an explicit form of the wavefunction describing the collapsing shell. This wavefunction and the corresponding probability density are non-singular at the origin, thus indicating that quantization should be able to rid gravity of singularities, just as it was the case with the singular Coulomb potential.
arXiv commentPublished in Phys. Rev. D 89, 044003 (2014)
References in corpus (25)
- The black hole final state
- Observation of Incipient Black Holes and the Information Loss Problem
- Black hole information, unitarity, and nonlocality
- A formal framework for a nonlocal generalization of Einstein's theory of gravitation
- Reissner-Nordström black holes in extended Palatini theories
- Quantum Radiation from Quantum Gravitational Collapse
- Hawking radiation as seen by an infalling observer
- (Non)perturbative gravity, nonlocality, and nice slices
- Functional Schroedinger and BRST Quantization of (1+1)--Dimensional Gravity
- Quantum gravitational collapse: non-singularity and non-locality
- A Non-Singular Black Hole
- Schrodinger formalism, black hole horizons and singularity behavior
- Linearized Gravitational Waves in Nonlocal General Relativity
- Nonlocal Gravity: Damping of Linearized Gravitational Waves
- Surface Layers in General Relativity and Their Relation to Surface Tensions
- Time dependent fluctuations and particle production in cosmological de Sitter and anti-de Sitter spaces
- Black Hole Final State Conspiracies
- Quantization of the Schwarzschild black hole: a Noether symmetry approach
- Schrodinger Picture of Quantum Gravitational Collapse
- Surface tension with Normal Curvature in Curved Space-Time
- Non-singular black holes from gravity-matter-brane lagrangians
- Classical and Quantum Equations of Motion for a BTZ Black String in AdS Space
- Hawking Radiation from a Reisner-Nordström Domain Wall
- Pre-Hawking Radiation from a Collapsing Shell
- Time Evolution of Temperature and Entropy of Various Collapsing Domain Walls
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- Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
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- Black hole evaporation and semiclassical thin shell collapse
- Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
- Schrödinger and Klein-Gordon theories of black holes from the quantization of the Oppenheimer and Snyder gravitational collapse
- On the quantization of the extremal Reissner-Nordstrom black hole
- Resolving the Schwarzschild singularity in both classic and quantum gravity
- A regular black hole as the final state of evolution of a singular black hole
- Pre-Hawking radiation may allow for reconstruction of the mass distribution of the collapsing object
- Spontaneous Radiation of Black Holes
- Schwarzschild Fuzzball and Explicitly Unitary Hawking Radiations
- Symmetric black-to-white hole solutions with a cosmological constant
- Quantum oscillations in the black hole horizon
- Quantum space and quantum completeness
- Hawking-like radiation and the density matrix for an infalling observer during gravitational collapse
- Information Missing Puzzle, Where Is Hawking's Error?
- Exact Inner Metric and Microscopic State of AdS-Schwarzschld BHs
- Information loss paradox revisited: farewell firewall?
- Hamiltonian formulation of dust cloud collapse
- Non-singular "Gauss'' black hole from non-locality
- Quantum Collapse of a Charged -dimensional BTZ-like Domain Wall
- Classical and Quantum Equations of Motion of an n-dimesional BTZ Black Hole
- Microscopic State of BHs and an Exact One Body Method for Binary Dynamics in General Relativity
- Cosmic inflation prevents singularity formation in collapse into a Hayward black hole
- Singularity Resolution + Unitary Evolution + Horizon = Firewall ?
- Gravity Induced Spontaneous Radiation
- Correction to Hawking radiation in non-singular gravitational collapse
- Directional Quantum Singularities in Curzon Spacetime
- Time as a test-field: the no-boundary universe in motion and a smooth radiation bounce
- A quantum thin shell surrounding a Black Hole