FLRW宇宙学的超流Rayleigh-Plesset扩张
Superfluid Rayleigh-Plesset extension of FLRW cosmology
摘要：
通过与超流He-4中多电子泡的Rayleigh-Plesset动力学类比，我们考虑了宇宙尺度因子倒数的立方和六次方的宇宙学FLRW演化方程.对于正压参数w=2/3（惯性宇宙），以及无粘性项时宇宙学常数为零的情况，以Sundman时间为演化参数，给出了宇宙尺度因子的Weierstrass椭圆函数有理表达式及其特殊情形的参数解.对于状态方程参数w的其他值，例如w=-1，但也是相同的滑行情况下，我们提出了一个更标准的讨论，在共形的时间变量使用数值积分获得的解决方案。
英文摘要：
Guided by the analogy with the Rayleigh-Plesset dynamics of multielectron bubbles in superfluid He-4, we consider the cosmological FLRW evolution equation with additional cubic and sixth powers of the inverse of the scale factor of the universe. For the barotropic parameter w=2/3 (coasting universe), along with zero cosmological constant in the absence of viscous terms, by using the Sundman time as evolution parameter, we present parametric solutions for the scale factor of the universe in terms of rational expressions of Weierstrass elliptic functions and their particular cases thereof. For other values of the equation of state parameter w, such as w=-1, but also the same coasting case, we present a more standard discussion in the conformal time variable using solutions obtained by numerical integration.
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