Abstract
In this paper, we have studied Friedmann-Robertson-Walker (FRW) cosmological model with quadratic equation of state and cosmological constant in the presence of perfect fluid source in f ( R, T ) gravity. To obtain an exact solution of the field equations of the theory, we have used quadratic equation of state and time dependent deceleration parameter q ( t ). The physical and geometrical behavior of the model is also discussed.
Highlights
The simplest and the most elegant assumption of the universe being homogeneous and isotropic is supported by the observational evidences in the large scale structure (LSS) [1] and cosmic microwave background radiation (CMBR) [2]
They have analyzed the effects of quadratic equation of state in anisotropic homogeneous and inhomogeneous cosmological models in general relativity to isotropize the universe at early times when the initial singularity is approached
Inspired by the above investigations and discussions, we have studied FRW space-time cosmological model in f (R,T ) gravity with quadratic equation state and cosmological constant
Summary
The simplest and the most elegant assumption of the universe being homogeneous and isotropic is supported by the observational evidences in the large scale structure (LSS) [1] and cosmic microwave background radiation (CMBR) [2]. The gravitational Lagrangian is constituted by an arbitrary function of curvature scalar ( ) and the trace ( ) of the energy momentum tensor. They have investigated FRW model to yield the field equations in this theory of f (R,T ) gravity. This equation is nothing but the first term of Taylor expansion of any equation of state of the form p = p(ρ) about ρ = 0 They have analyzed the effects of quadratic equation of state in anisotropic homogeneous and inhomogeneous cosmological models in general relativity to isotropize the universe at early times when the initial singularity is approached. 6. Let us take variation of action (2) with respect to the metric tensor components gμυ , so that we obtain the field equations of f (R,T ) gravity as fR (R,T )Rμν.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Astrophysics and Space Science
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
