论文标题
FLRW宇宙学的超氟雷利 - 插曲扩展
Superfluid Rayleigh-Plesset extension of FLRW cosmology
论文作者
论文摘要
在超级流体HE-4中多电体气泡的瑞利式动力学的类比的指导下，我们考虑了宇宙学FLRW进化方程，并具有宇宙比例逆因子的额外立方和第六幂。对于压缩参数，W = 2/3（海岸宇宙），以及在没有粘性项的情况下，将Sundman Time用作进化参数，零宇宙常数，我们以Weiersstrass Elliptic函数及其特定情况的理性表达方式提出了宇宙规模系数的参数解决方案。对于状态参数w方程的其他值，例如W = -1，但也是相同的海岸案例，我们使用数值集成获得的解决方案在共形时变量中提出了更标准的讨论。
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.
