Cosmic scenarios in f(R) gravity: A complete evolution

The paper deals with f(R) gravity theory in the background of inhomogeneous FLRW-type space-time model. With proper choice of the inhomogeneous metric function it is possible to have an emergent scenario for the f(R)-cosmology. Explicit form of f(R) is obtained for power law expansion. It has been shown that the present f(R) gravity model is equivalent to some particle creation mechanism in Einstein gravity. Further a complete cosmic evolution from inflation to present late time acceleration is possible with proper continuous choices of the f(R)-functions. Finally, in the perspective of thermodynamical analysis a form of f(R) has been evaluated using the unified first law.