Energy–Momentum Complex in General Relativity and Gauge Theory

Alternative versions of the energy–momentum 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 energy–momentum conservation laws and reveal intriguing new relations between superpotential, gauge connection and spin angular momentum with rich new possibilities for physical interpretation.