Perfect fluid cosmological Universes: One equation of state and the most general solution

Pramana: Journal of physics

SUBENOY CHAKRABORTY^3¹  ANADIJIBAN DAS^1²  SUPRIYA PAN^4³  ASIT BANERJEE^2⁴ 

[1] Department of Mathematics, Jadavpur University, Kolkata 700 032, India^3;Department of Mathematics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada^1;Department of Physical Sciences, Indian Institute of Science Education and Research, Kolkata, Mohanpur 741 246, India^4;Department of Physics, Jadavpur University, Kolkata 700 032, India^2

关键词: Perfect fluid;    equation of state;    cosmological solutions;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Considering a homogeneous and isotropic Universe characterised by the Friedmann–Lemaître– Robertson–Walker line element, in this work, we have prescribed a general formalism for the cosmological solutions when the equation of state of the cosmic substance follows the general structure $\phi(p, \rho) = 0$, where $p$, $\rho$ are respectively the pressure and the energy density of the cosmic substance. Using the general formalism we recover some well-known solutions, namely, when the cosmic substance obeys the linear equation of state, a Chaplygin-type equation of state, or a nonlinear equation of state. Thus, the current work offers a new technique to solve the cosmological solutions without any prior relation between $p$ and $/rho$.

【 授权许可】

CC BY