The river model of gravitational collapse

We show that the transformation of a time-evolving spherically symmetric metric tensor into a Painlevé–Gullstrand–Lemaître form brings forth a few curious consequences. The time evolution describes a non-singular gravitational collapse, leading to a bounce and dispersal of all the clustered matter,...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 84; no. 1; pp. 30 - 8
Main Author Chakrabarti, Soumya
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 11.01.2024
Springer Nature B.V
SpringerOpen
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Summary:We show that the transformation of a time-evolving spherically symmetric metric tensor into a Painlevé–Gullstrand–Lemaître form brings forth a few curious consequences. The time evolution describes a non-singular gravitational collapse, leading to a bounce and dispersal of all the clustered matter, or a wormhole geometry for certain initial conditions. The null convergence condition is violated only at the onset of bounce or the wormhole formation. As an example, the requirements to develop a Simpson–Visser wormhole/regular black-hole geometry is discussed. The solution can be regarded as a new time-evolving twin of sonic dumb holes found in analog gravity.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-12382-9