Analytically periodic solutions to the three-dimensional Euler–Poisson equations of gaseous stars with a negative cosmological constant

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Abstract

By extension of the three-dimensional analytical solutions of Goldreich and Weber (1980 Homologously collapsing stellar cores Astrophys. J. 238 991) with an adiabatic exponent γ = 4/3, to the (classical) Euler–Poisson equations without a cosmological constant, the self-similar (almost re-collapsing) time-periodic solutions with a negative cosmological constant (Λ < 0) are constructed. The solutions with time periodicity are novel. Based on these solutions, the time-periodic and almost re-collapsing model is conjectured in this paper, for some gaseous stars. Copyright © 2009 IOP Publishing Ltd.
Original languageEnglish
Article number235011
JournalClassical and Quantum Gravity
Volume26
Issue number23
DOIs
Publication statusPublished - Nov 2009

Citation

Yuen, M. (2009). Analytically periodic solutions to the three-dimensional Euler–Poisson equations of gaseous stars with a negative cosmological constant. Classical and Quantum Gravity, 26(23). Retrieved from https://doi.org/10.1088/0264-9381/26/23/235011

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