INTERSECTION OF YANG–MILLS THEORY WITH GAUGE DESCRIPTION OF GENERAL RELATIVITY

General Relativity as a constrained Gauge Theory

The formulation of General Relativity presented in [1] and the Hamiltonian formulation of Gauge theories described in [2] are made to interact. The resulting scheme allows to see General Relativity as a constrained Gauge theory. Mathematics Subject Classification: 70S05, 70S15, 81T13

“ Gauge ” in General Relativity : — Second - order general relativistic gauge - invariant perturbation theory —

As in the case of the other gauge field theories, there is so called “gauge” also in general relativity. This “gauge” is unphysical degree of freedom. There are two kinds of “gauges” in general relativity. These are called the firstand the second-kind of gauges, respectively. The gauge of the first kind is just coordinate system on a single manifold. On the other hand, the gauge of the second k...

Energymomentum Complex in General Relativity and Gauge Theory

Alternative versions of the energymomentum complex in general relativity are given compact new formulations with spacetime algebra. A new unitary form for Einstein’s equation greatly simplifies the derivation and analysis of gravitational superpotentials. Interpretation of Einstein’s equations as a gauge field theory on flat spacetime is shown to resolve ambiguities in energymomentum conservati...

Renormalizable Quantum Gauge General Relativity

The quantum gauge general relativity is proposed in the framework of quantum gauge theory of gravity. It is formulated based on gauge principle which states that the correct symmetry for gravitational interactions should be gravitational gauge symmetry. The gravitational gauge group is studied in the paper. Then gravitational gauge interactions of pure gravitational gauge field is studied. It i...

Einstein’s General Theory of Relativity