Curvature induced late time acceleration

Mathematics – Logic

Scientific paper

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Modified Theory Of Gravity, Cosmological Solution, Late Time Acceleration

Scientific paper

We formulate a modified theory of gravity to an equivalent second order gravity theory for a Lagrangian containing R and {1/R} terms by introducing an auxiliary variable in a spatially homogeneous and isotropic background. We present a few analytical solutions of evolution equation for the deceleration parameter q as a function of the scale factor; specially in one solution, the universe evolves continuously from q = 1 (i.e. like a radiation dominated era) to {q= -1/2} dark energy dominated late time accelerating phase when the universe is sufficiently old. The solution is supported by numerical results.

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