Quantum potential in dust collapse with a negative cosmological constant
arXiv:2007.10971 · doi:10.1016/j.physletb.2021.136269
Abstract
In the functional Schrodinger formalism, we obtain the wave function describing collapsing dust in an anti-de Sitter background, as seen by a co-moving observer, by mapping the resulting variable mass Schrodinger equation to that of the quantum isotonic oscillator. Using this wave function, we perform a causal de Broglie-Bohm analysis, and obtain the corresponding quantum potential. We construct a bouncing geometry via a disformal transformation, incorporating quantum effects. We derive the external solution that matches with this smoothly, and is also quantum corrected. Due to a pressure term originating from the quantum potential, an initially collapsing solution with a negative cosmological constant bounces back after reaching a minimum radius, and thereby avoids the classical singularity predicted by general relativity.
arXiv comment18 pages, Matches published version
References in corpus (27)
- Introduction to Modern Canonical Quantum General Relativity
- The Nature of Space and Time
- Recent developments in gravitational collapse and spacetime singularities
- The Causal Interpretation of Dust and Radiation Fluids Non-Singular Quantum Cosmologies
- Collapsing spherical stars in f(R) gravity
- Observation of Incipient Black Holes and the Information Loss Problem
- Solar system effects in Schwarzschild--de Sitter spacetime
- Non-singular quantum-inspired gravitational collapse
- Gravitational vacuum polarization II: Energy conditions in the Boulware vacuum
- Classical collapse to black holes and quantum bounces: A review
- Exact solutions of effective-mass Schrodinger equations
- Gravitational vacuum polarization I: Energy conditions in the Hartle--Hawking vacuum
- A quantum exactly solvable non-linear oscillator related with the isotonic oscillator
- Cosmology from quantum potential
- Canonical Transformations in Quantum Mechanics
- Quantum Radiation from Quantum Gravitational Collapse
- Quantum Raychaudhuri equation
- Radiation from a collapsing object is manifestly unitary
- Singularity avoidance for collapsing quantum dust in the Lemaitre-Tolman-Bondi model
- Quantum Corrections to Schwarzschild Black Hole
- Singularity avoidance in quantum-inspired inhomogeneous dust collapse
- Towards a quantum Oppenheimer-Snyder model
- Quantum Oppenheimer-Snyder model
- Quantum Potential and Cosmological Singularities
- Thermodynamic and dynamical stability of Freund-Rubin compactification
- Collapse in gravity and the method of matching
- Disformal transformations and the motion of a particle in semi-classical gravity