The Symmetries of Kibble’s Gauge Theory of Gravitational Field, Conservation Laws of Energy-Momentum Tensor Density and the Problems about Origin of Matter Field

Based on the analysis of the Kibble gravitational gauge field theory, we studied the Noether theorem for the transformation of the Poincare’ local group in the physics systems, derived the energy-momentum tensor density conservation laws, and proved the equivalence of this conservation laws to the Lorentz and Levi-Civita energy-momentum tensor density conservation laws. Moreover, we discussed the problems about the origin of matter field.