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 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 dependent on the connection, we achieve to interesting cases including non-zero torsion tensor. Then with the physical interpretation of torsion of space-time in high energy limit, the modified expression of Mach's principle in a very strong gravitational region is obtained.

7 pages. arXiv admin note: text overlap with arXiv:0805.1726, arXiv:1002.4928 by other authors