Abstract
In this paper, we have studied the Einstein-Rosen space time in \(f(R,T)\) gravity by considering the second model of Harko et al. (Phys. Rev. D 84:024020, 2011), \(f(R,T) = f_{1}(R)+f_{2}(T)\), where \(f_{1}(R)=\lambda R\); \(f_{2}(T)=\lambda T\) and \(f_{1}(R)=\lambda R\); \(f_{2}(T)=\lambda T^{2}\). The matter field is considered in the form of perfect fluid. It is observed that, the perfect fluid represent the Zel’dovich universe in both the forms.
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Acknowledgements
The authors acknowledge SERB-DST, New Delhi, India for financial support to carry out the Research project [No. SR/S4/MS:815/13]. B. Mishra thanks Institute of Physics (IOP), Bhubaneswar where a part of this work was carried out during an academic visit. The authors are thankful to the anonymous referee for the valuable suggestions and comments for the improvement of the paper.
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Mishra, B., Sahoo, P.K. & Tarai, S. Non-static cosmological model in \(f(R,T)\) gravity. Astrophys Space Sci 359, 15 (2015). https://doi.org/10.1007/s10509-015-2469-2
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DOI: https://doi.org/10.1007/s10509-015-2469-2