Torsion of space-time in f (R) gravity

Abstract

In this paper, we first review some aspects of the f (R) gravity, and then the concept of the torsion of space-time due to metric-affine formalism in f (R) gravity is studied. Within this formalism, in which the matter action is supposed to be dependent on the connection, we achieve interesting cases including nonzero torsion tensor. Then with the physical interpretation of the torsion of space-time in high energy limit, the modified expression of Mach’s principle in a very strong gravitational region is obtained.