Kaluza–Klein string cosmological model in f(R, T) theory of gravity

Abstract

In this paper we have studied Kaluza-Klein string cosmological model within the framework of f (R, T ) theory of gravity, where R is the Ricci scalar and T is the trace of the stress energy momentum tensor. We have obtained the solution of the corresponding field equations by using a time varying deceleration parameter. We also discussed various physical and dynamical properties of the model. The variation of different cosmological parameters are shown graphically for specific values of the parameters of the model.

Analysis of Reconstructed Modified Symmetric Teleparallel f(Q) Gravity

“…As, we know the ghost dark energy model is one of the dynamical dark energy model whose energy density is defined as (Pawar et al, 2018)…”

“…In the foregoing epoch, a lot of investigation has been primed in the modified theories of gravitation such as f(R), f(R, T ), f(G), f(R, G), and f(T, B) gravity, where R, G, T and T denotes the Ricci scalar, Gauss-Bonnet invariant, trace of energy-momentum tensor and torsion scalar of the Universe respectively. Innumeral works have been established in the framework of this modified theories of gravity and interesting results have been found in (Capozziello et al, 2007;Nojiri and Odintsov 2007;Azadi et al, 2008;Capozziello et al, 2008;Nojiri and Odintsov 2008;Harko et al, 2011;Daouda et al, 2012;Wei et al, 2012;Sharif and Yousaf 2013;Sahoo et al, 2014;Abbas et al, 2015;Chirde and Shekh 2015;Chirde and Shekh, 2016a;Chirde and Shekh, 2016b;Sharif and Fatima 2016;Bhatti et al, 2017;Bhoyar et al, 2017;Shekh, 2018a, Chirde andShekh, 2018b;Chirde and Shekh, 2019;Pawar et al, 2018;Shekh and Chirde, 2019;Shekh and Chirde, 2020;Shekh et al, 2020b;Dagwal and Pawar 2020;Sahoo and Bhattacharjee 2020;Shekh et al, 2020a;Shekh and Chirde 2020;Shekh et al, 2021;Shekh, 2021a;Shekh 2021b). Among the all determinations, one model which is based on the so-called f(Q) gravity theory or symmetric teleparallel gravity, where the nonmetricity scalar Q is works as gravitational interaction.…”

Interaction of Bianchi type-I anisotropic cloud string cosmological model universe with electromagnetic field

“…Adhav et al [26] obtained string cosmological models in Brans-Dicke theory of gravitation, where they had solved the field equations by using the condition that the sum of the tension density and energy density is zero. Also, Pawar [27] studied Kaluza Klein string cosmological model in the framework of f(R, T) theory of gravity and solved the field equations by assuming a power law relation between scale factor and a time varying deceleration parameter.…”

Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity

“…In this theory, the gravitational Lagrangian S m is given by an arbitrary function of the Ricci scalar R and trace T . This theory can be applied to explore various issues of current interests and may lead to some good inferences [11]. Bianchi types models have a vital role in the description and understanding of the early stages of evolution of the universe.…”