Manwai Yuen 2009 Class. Quantum Grav. 26 235011 doi:10.1088/0264-9381/26/23/235011
Manwai Yuen
Show affiliationsBy 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.
95.30.Sf Relativity and gravitation
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
Issue 23 (7 December 2009)
Received 11 June 2009, in final form 31 July 2009
Published 6 November 2009
Manwai Yuen 2009 Class. Quantum Grav. 26 235011
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