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Superfluid Rayleigh–Plesset extension of FLRW cosmology
Annals of Physics ( IF 3.0 ) Pub Date : 2021-04-30 , DOI: 10.1016/j.aop.2021.168490
Haret C. Rosu , Stefan C. Mancas , Chun-Chung Hsieh

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=23 (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.



中文翻译:

超流体瑞利– FLRW宇宙学的普莱谢扩展

通过与超流体He-4中多电子气泡的Rayleigh-Plesset动力学的类比指导,我们考虑宇宙FLRW演化方程,该方程具有宇宙比例因子倒数的三次方和六次方。对于正压参数w=2个3(海岸宇宙),以及在没有粘性项的情况下的零宇宙常数,通过使用桑德曼时间作为演化参数,我们根据Weierstrass椭圆函数及其特殊情况的有理表达式给出了宇宙比例因子的参数解其。对于状态方程参数的其他值w, 如 w=-1个,但也有相同的情况,我们使用通过数值积分获得的解决方案,在保形时间变量中进行了更为标准的讨论。

更新日期:2021-05-06
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