Kaluza-Klein cosmological model in $f(R,T)$ gravity with $\Lambda (T)$

Abstract

A class of Kaluza-Klein cosmological models in $f(R,T)$ theory of gravity have been investigated. In the work, we have considered the functional $f(R,T)$ to be in the form $f(R,T)=f(R)+f(T)$ with $f(R)=\lambda R$ and $f(T)=\lambda T$. Such a choice of the functional $f(R,T)$ leads to an evolving effective cosmological constant $\Lambda$ which depends on the stress energy tensor. The source of the matter field is taken to be a perfect cosmic fluid. The exact solutions of the field equations are obtained by considering a constant deceleration parameter which leads two different aspects of the volumetric expansion namely a power law and an exponential volumetric expansion. Keeping an eye on the accelerating nature of the universe in the present epoch, the dynamics and physical behaviour of the models have been discussed. From statefinder diagnostic pair we found that the model with exponential volumetric expansion behaves more like a $\Lambda$CDM model.

10 pages, 9 figures

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Cited by in corpus (14)

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• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Cosmic Transit and Anisotropic Models in f(R,T) Gravity
• Anisotropic cosmological reconstruction in $f(R,T)$ gravity
• Evaluation of cosmological models in $f(R,T)$ gravity in different dark energy scenario
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Dynamical features of an anisotropic cosmological model
• Compatibility between the scalar field models of tachyon, $k$-essence and quintessence in $f(R,T)$ gravity
• The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations
• Dynamics of an Anisotropic Universe in $f(R,T)$ Theory
• A stable flat universe with variable Cosmological constant in f(R,T) Gravity
• Noncompactified Kaluza--Klein Gravity
• Domain Wall Bianchi Type $V{I}_0$ Universe in $f(R,T)$ Gravity
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation