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Quantum potential in dust collapse with a negative cosmological constant
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Quantum potential in dust collapse with a negative cosmological constant
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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.
Forward citations
Cited by 2 Pith papers
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On gravitational collapse and integrable singularities
After Minkowski breaking in the interior geometry, the quantum potential in the Raychaudhuri equation strongly resists further collapse toward the central singularity.
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On gravitational collapse and integrable singularities
After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.
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