Quantum potential in dust collapse with a negative cosmological constant

• URL: http://arxiv.org/abs/2007.10971v2
• Date: Mon, 14 Jun 2021 15:56:10 GMT
• Title: Quantum potential in dust collapse with a negative cosmological constant
• Authors: Sandip Chowdhury, Kunal Pal, Kuntal Pal, Tapobrata Sarkar
• Abstract summary: We obtain the wave function describing collapsing dust in an anti-de Sitter background, as seen by a co-moving observer. We perform a causal de Broglie-Bohm analysis, and obtain the corresponding quantum potential. An initially collapsing solution with a negative cosmological constant bounces back after reaching a minimum radius.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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