Torsion of Space-time in f(R) gravity

TL;DR

This paper explores the concept of torsion in space-time within f(R) gravity using metric-affine formalism, revealing how torsion influences high-energy gravitational phenomena and modifies Mach's principle.

Contribution

It introduces a novel analysis of space-time torsion in f(R) gravity through metric-affine formalism, including non-zero torsion cases and their physical implications.

Findings

Torsion tensor can be non-zero in f(R) gravity with metric-affine formalism.

Torsion affects the high-energy limit of gravitational interactions.

Modified Mach's principle is derived in strong gravitational regions.

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.