Vol 18, No 10 (2018) / Ahmed

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A stable flat universe with variable cosmological constant in f (R, T) gravity

Nasr Ahmed, Sultan Alamri


In this paper, a general FRW cosmological model has been constructed in \(f (R, T )\) gravity reconstruction with variable cosmological constant. A number of solutions to the field equations has been generated by utilizing a form for the Hubble parameter that leads to Berman’s law of constant deceleration parameter \(q = m - 1\). The possible decelerating and accelerating solutions have been investigated. For \((q > 0)\) we get a stable flat decelerating radiation-dominated universe at \(q = 1\). For \((q < 0)\) we get a stable accelerating solution describing a flat universe with positive energy density and negative cosmological constant. Nonconventional mechanisms that are expected to address the late-time acceleration with negative cosmological constant have been discussed.


modified gravity — cosmology — deceleration parameter

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DOI: https://doi.org/10.1088/1674–4527/18/10/123


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