Superfluid Rayleigh-Plesset extension of FLRW cosmology

S. C. Mancas; Haret C Rosu; Chun-Chung Hsieh; Stefani Mancas

doi:10.1016/j.aop.2021.168490

Superfluid Rayleigh-Plesset extension of FLRW cosmology

S. C. Mancas, Haret C Rosu, Chun-Chung Hsieh, Stefani Mancas

Research output: Contribution to journal › Article › peer-review

Abstract

 Guided by the analogy with the Rayleigh-Plesset dynamics of multielectron bubbles in super
 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.

Original language	American English
Journal	Annals of Physics 429
Volume	429
DOIs	https://doi.org/10.1016/j.aop.2021.168490
State	Published - Jun 2021

Disciplines

Physical Sciences and Mathematics

Access to Document

10.1016/j.aop.2021.168490License: Unspecified

Cite this

@article{c1d39592888c4bf28ac6bdf40ddf721f,

title = "Superfluid Rayleigh-Plesset extension of FLRW cosmology",

abstract = " Guided by the analogy with the Rayleigh-Plesset dynamics of multielectron bubbles in super 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.",

author = "Mancas, {S. C.} and Rosu, {Haret C} and Chun-Chung Hsieh and Stefani Mancas",

year = "2021",

month = jun,

doi = "10.1016/j.aop.2021.168490",

language = "American English",

volume = "429",

journal = "Annals of Physics 429",

}

TY - JOUR

T1 - Superfluid Rayleigh-Plesset extension of FLRW cosmology

AU - Mancas, S. C.

AU - Rosu, Haret C

AU - Hsieh, Chun-Chung

AU - Mancas, Stefani

PY - 2021/6

Y1 - 2021/6

N2 - Guided by the analogy with the Rayleigh-Plesset dynamics of multielectron bubbles in super 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.

AB - Guided by the analogy with the Rayleigh-Plesset dynamics of multielectron bubbles in super 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.

UR - https://www.sciencedirect.com/science/article/abs/pii/S0003491621000968?via%3Dihub

U2 - 10.1016/j.aop.2021.168490

DO - 10.1016/j.aop.2021.168490

M3 - Article

VL - 429

JO - Annals of Physics 429

JF - Annals of Physics 429

ER -

Superfluid Rayleigh-Plesset extension of FLRW cosmology

Abstract

Disciplines

Access to Document

Other files and links

Cite this