Energy Constraints and Phenomenon of Cosmic Evolution in $f(T,B)$ Framework

Understand

We investigate the cosmological evolution in a new modified teleparallel theory, called $f(T,B)$ gravity, which is formulated by connecting both $f(T)$ and $f(R)$ theories with a boundary term $B$.

• Here, $T$ is the torsion scalar in teleparallel gravity and $R$ is the scalar curvature.
• For this purpose, we assume flat Friedmann-Robertson-Walker (FRW) geometry filled with perfect fluid matter contents.
• We study two cases in this gravity: One is for a general function of $f(T,B)$, and the other is for a particular form of it given by the term of $-T+F(B)$.