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

Understand

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.