Abstract
Recently, a generalized gravity theory was proposed by Harko et al. where the Lagrangian density is an arbitrary function of the Ricci scalar R and the trace of the stress-energy tensor T, known as F(R,T) gravity. In their derivation of the field equations, they have not considered conservation of the stress-energy tensor. In the present work, we have shown that a part of the arbitrary function f(R,T) can be determined if we take into account of the conservation of stress-energy tensor, although the form of the field equations remain similar. For homogeneous and isotropic model of the universe the field equations are solved and corresponding cosmological aspects has been discussed. Finally, we have studied the energy conditions in this modified gravity theory both generally and a particular case of perfect fluid with constant equation of state.
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Acknowledgments
The work is done during a visit to IUCAA, Pune (India) under associateship programme. The author is thankful to IUCAA for warm hospitality and facilities at the library. The author also acknowledges the DRS programme of UGC, Govt. of India, in the department of Mathematics, Jadavpur University.
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Chakraborty, S. An alternative f(R, T) gravity theory and the dark energy problem. Gen Relativ Gravit 45, 2039–2052 (2013). https://doi.org/10.1007/s10714-013-1577-y
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DOI: https://doi.org/10.1007/s10714-013-1577-y