Abstract
The paper deals withf(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 thef(R)-cosmology. Explicit form off(R) is obtained for power law expansion. It has been shown that the presentf(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 thef(R)-functions. Finally, in the perspective of thermodynamical analysis a form off(R) has been evaluated using the unified first law.
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