具有负宇宙学常数的气体星三维Euler-Poisson方程的解析周期解
Analytically Periodic Solutions to the 3-dimensional Euler-Poisson Equations of Gaseous Stars with Negative Cosmological Constant
摘要：
本文推广了Goldreich和Weber的三维解析解。Weber，Homologously Collapsing Stellar Cores，Astrophys，J. 238，991（1980）”，其中绝热指数γ =4/3，对于不含宇宙学常数的（经典）Euler-Poisson方程，构造了具有负宇宙学常数（λ <0）的自相似（几乎再坍缩）时间周期解.具有时间周期性的解是新颖的。在这些解的基础上，对某些气体星建立了时间周期的几乎再坍缩模型。关键词：解析周期解，再坍缩，宇宙学常数，Euler-Poisson方程，坍缩
英文摘要：
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
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