Gauge gravitation theory in Riemann-Cartan space-time and the nonsingular Universe

Abstract: The gauge gravitation theory in the Riemann-Cartan space-time is investigated in order to solve the fundamental problems of the general relativity theory. The constraints for indefinite parameters of the theory under which solutions of isotropic cosmology describe a nonsingular accelerating Universe are given. Numerical solutions of cosmological equations near the limiting energy density by transition from gravitational compression to expansion in dependence on energy density in the case of flat, closed and open models are obtained. Some physical consequences of gauge gravitational theory in the Riemann-Cartan space-time in astrophysics are discussed.