Guo Y, Hadžić M, Jang J. Larson-Penston Self-similar Gravitational Collapse.
Commun Math Phys 2021;
386:1551-1601. [PMID:
34720128 PMCID:
PMC8550190 DOI:
10.1007/s00220-021-04175-y]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/12/2020] [Accepted: 07/07/2021] [Indexed: 06/13/2023]
Abstract
Using numerical integration, in 1969 Penston (Mon Not R Astr Soc 144:425-448, 1969) and Larson (Mon Not R Astr Soc 145:271-295, 1969) independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state p = k ϱ , k > 0 , and subject to Newtonian gravity. We rigorously prove the existence of such a Larson-Penston solution.
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