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.

中文翻译：

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广义相对论和规范理论中的能量-动量复合体

广义相对论中能量-动量复合体的替代版本被赋予了带有时空代数的紧凑的新公式。爱因斯坦方程的一种新的幺正形式极大地简化了引力超势的推导和分析。将爱因斯坦方程解释为平坦时空的规范场理论可以解决能量-动量守恒定律中的歧义，并揭示超势、规范连接和自旋角动量之间有趣的新关系，为物理解释提供丰富的新可能性。