Universe acceleration in modified gravities: F(R) and F(T) cases

Abstract

We review recent progress on cosmological issues and theoretical properties of modified gravity theories. In particular, we explicitly explore the conformal transformation, the Starobinsky inflation, and a unified scenario of inflation and late time acceleration in F(R) gravity and F(T) gravity (extended teleparallel gravity). Furthermore, we examine neutron stars and the hyperon problem in F(R) gravity. Moreover, for loop quantum cosmology (LQC), the natures of finite-time future singularities in F(T) gravity are presented. In addition, we investigate F(T) gravity theories from the Kaluza-Klein (KK) and Randall-Sundrum (RS) theories.