Cosmology of modified holographic f(G) gravity and study of baryogenesis

Motivated by the work of Nojiri and Odintsov [Phys. Lett. B 631 (2005) 1-6, arXiv:hep-th/0508049 [hep-th]], this work reports on the cosmology and baryogenesis of modified f(G) gravity by assuming the background evolution as generalized holographic dark energy (GHDE). For vacuum energy density, modified f(G) gravity is reconstructed and found to be of positive behavior. The equation of state (EoS) parameter under the purview of vacuum energy density comes out to be quintom. The reconstructed modified f(G) gravity in GHDE shows positive behavior, and its corresponding EoS parameter is phantom. There is a chance of a big rip singularity and the slow roll parameters are analyzed. Quasi exponential expansion and warm inflation are observed. Finally, baryogenesis is studied. The study suggests that either there may be symmetry between the number density of baryons and antibaryons in the far future, or the generalized second law of thermodynamics is satisfied by the model.