GSL in QCD ghost f(G) gravity

What is it about?

Considering power-law for of scale factor in a flat FRW universe we reported a reconstruction scheme for f(G) gravity based on QCD ghost dark energy. We reconstructed the effective equation of state parameter and observed “quintessence” behavior of the equation of state parameter. Furthermore, considering dynamical apparent horizon as the enveloping horizon of the universe we have observed that the generalized second law of thermodynamics is valid for this reconstructed f(G) gravity.

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Why is it important?

In the present study we have presented a reconstruction scheme for $f(G)$ gravity, where $G$ represents Gauss-Bonnet invariant and we have chosen the scale factor in power-law form. It should be mentioned that $f(G)$ gravity is not ``ad hoc" but comes out from the problem of non-local gravity theories.