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Covariant Energy-Momentum Conservation In General Relativity

Philip E. Gibbs
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Abstract

A covariant formula for conserved currents of energy, momentum and angular-momentum is derived from a general form of Noethers theorem applied directly to the Einstein-Hilbert action of classical general relativity. Energy conservation in a closed big-bang cosmology is discussed as a special case. Special care is taken to distinguish between kinematic and dynamic expressions.

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Philip E. Gibbs. 1997-01-17. Covariant Energy-Momentum Conservation In General Relativity. https://arxiv.org/abs/gr-qc/9701028

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