标题： 超流Rayleigh-Plesset扩展的FLRW宇宙学 显示英文标题

标题： Superfluid Rayleigh-Plesset extension of FLRW cosmology

摘要： 受多电子气泡在超流氦-4中的瑞利-普莱舍动力学类比的启发，我们考虑了具有额外三次项和六次项的宇宙FLRW演化方程，这些项涉及宇宙尺度因子的倒数。对于状态方程参数 \(w=2/3\)（匀速膨胀宇宙），且在没有粘性项的情况下宇宙学常数为零时，利用Sundman时间作为演化参数，我们以魏尔斯特拉斯椭圆函数及其特例的有理表达式形式给出了宇宙尺度因子的参数解。对于其他状态方程参数 \(w\) 的值，例如 \(w=-1\)，以及相同的匀速膨胀情况，我们使用通过数值积分获得的解，在共形时间变量下进行了更为标准的讨论。 显示英文摘要

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.