OICC Press Journal of Theoretical and Applied Physics 2251-7235 6 1 2023 11 17 Torsion of space-time in f (R) gravity 10.1186/2251-7235-6-10 EN Majid Mohsenzadeh Department of Physics, Qom Branch, Islamic Azad University, Qom, Iran 0000-0001-5665-5610 Ebrahim Yusofi Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran 0000-0003-2201-2072 Journal Article 2023 11 17 AbstractIn 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.