Formalizing anisotropic inflation in modified gravity

Motivated by the fact that pre-inflationary era may evolve in an exotic way, this work we formalize anisotropic evolution context of modified gravity, focusing on and near vicinity inflationary epochs. We specialize specific metrics like Bianchi Taub theory vacuum F(R) gravity with extra scalar field Gauss-Bonnet gravity. discuss qualitative effects anisotropies Universe also consider several solutions, de Sitter solution, both isotropic contexts. Furthermore, cosmological ones which contain finite time singularities, are discussed brief.