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Astrophysics and Space Science

, 363:248 | Cite as

Cosmic evolution in the background of non-minimal coupling in \(f(R,T,R_{\mu \nu }T^{\mu \nu })\) gravity

  • M. ZubairEmail author
  • Muhammad Zeeshan
Original Article

Abstract

In this manuscript, we are interested to address the issue of cosmic expansion in the background of matter-geometry coupling. For this purpose we consider \(f(R,T,Q)\) modified theory (where \(R\) is the Ricci Scalar, \(T\) is the trace of energy-momentum tensor (EMT) \(T_{uv}\) and \(Q=R_{uv}T^{uv}\) is interaction of EMT \(T_{\mu \nu }\) and Ricci Tensor \(R_{uv}\)). We formulate modified field equations in the background of flat Friedmann-Lemaître-Robertson-Walker (FLRW) model which is defined as \(ds^{2}=dt^{2}-a(t)^{2}(dx^{2}+dy^{2}+dz^{2} )\), where \(a(t)\) represents the scale factor. In this formalism energy density is found using covariant divergence of modified field equations. \(\rho \) involves a contribution from non-minimal matter geometry coupling which helps to study different cosmic eras based on equation of state (EOS). Furthermore, we apply the energy bounds to constrain the model parameters establishing a pathway to discuss the cosmic evolution for best suitable parameters in accordance with recent observations.

Keywords

\(f(R,T,R_{\mu \nu }T^{\mu \nu })\) gravity Raychaudhuri equation Energy conditions, Dark Energy 

Notes

Acknowledgements

M. Zubair thanks the Higher Education Commission, Islamabad, Pakistan for its financial support under the NRPU project with grant number 5329/Federal/NRPU/R&D/HEC/2016.

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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of MathematicsCOMSATS University IslamabadLahore CampusPakistan

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