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 to 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 have found that the model with exponential volumetric expansion behaves more like a lambda cold dark matter model.
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Acknowledgments
PKS would like to thank the Institute of Mathematical Sciences (IMSc), Chennai, India, for providing facility and support during a visit where part of this work was done. SKT likes to thank Institute of Physics, Bhubaneswar, for providing necessary facility for accomplishing a part of this work.
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Sahoo, P.K., Mishra, B. & Tripathy, S.K. Kaluza–Klein cosmological model in f(R, T) gravity with Λ(T). Indian J Phys 90, 485–493 (2016). https://doi.org/10.1007/s12648-015-0759-8
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DOI: https://doi.org/10.1007/s12648-015-0759-8