Analytically Periodic Solutions to the 3-dimensional Euler-Poisson Equations of Gaseous Stars with Negative Cosmological Constant

Abstract

By the extension of the 3-dimensional analytical solutions of Goldreich and Weber "P. Goldreich and S. Weber, Homologously Collapsing Stellar Cores, Astrophys, J. 238, 991 (1980)" with adiabatic exponent gamma=4/3, to the (classical) Euler-Poisson equations without cosmological constant, the self-similar (almost re-collapsing) time-periodic solutions with negative cosmological constant (lambda<0) are constructed. The solutions with time-periodicity are novel. On basing these solutions, the time-periodic and almost re-collapsing model is conjectured, for some gaseous stars. Key Words: Analytically Periodic Solutions, Re-collapsing, Cosmological Constant, Euler-Poisson Equations, Collapsing

9 pages

Cited by in corpus (8)

• Rotational and Self-similar Solutions for the Compressible Euler Equations in R^3
• Some Exact Blowup Solutions to the Pressureless Euler Equations in R^N
• Periodic Solutions of 2D Isothermal Euler-Poisson Equations with Possible Applications to Spiral and Disk-like Galaxies
• Blowup for the C^1 Solutions of the Euler-Poisson Equations of Gaseous Stars in R^N
• Analytical Solutions to the Navier-Stokes-Poisson Equations with Density-dependent Viscosity and with Pressure
• Scaling Hydrodynamical Evolution of a Gravitating Dark-fluid Universe
• Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars II
• Blowup for $C^2$ Solutions of the N-dimensional Euler-Poisson Equations in Newtonian Cosmology