Comparison between Three Paradigms of General Relativity

Gravity formulated as a classical gauge theory is based on the Mach principle in terms of curvature scalar R by A. Einstein. The original idea Einstein limits gravity to act spacetime. However, there exist other possible fields such torsion and non-metricity. aim this paper make compatible comparison between three paradigms: via Einstein–Hilbert action, Teleparallel (TEGR) Coincidence (CGR). In TEGR, flat spacetime considered well an asymmetric connection metric. CGR, constructed equally flat, tortionless spacetime, which ascribed strength weakness each formulation tested framework homogeneous isotropic cosmological background. Mainly, equivalence GR TEGR examined at level equation motion. Furthermore, we study interactions dark energy, matter radiation, stability these models explored. implications interaction were both early late epochs universe. It has been found that mostly similarity description evolution universe provided while CGR always showed different description.