Relativity and Cosmology


Covariant Energy-Momentum Conservation in General Relativity with Cosmological Constant

Authors: Philip Gibbs

A covariant formula for conserved currents of energy, momentum and angular-momentum is derived from a general form of Noether's theorem applied directly to the Einstein-Hilbert action of classical general relativity. Energy conservation in closed and flat big-bang cosmologies including cosmic radiation and dark energy is discussed as special cases. Special care is taken to distinguish between kinematic and dynamic expressions.

Comments: 11 pages, this is an updated version of an earlier paper originally archived as arXiv:gr-qc/9701028. The cosmological constant has been added to the analysis, plus other small additions. Submitted to Prespacetime Journal.

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Submission history

[v1] 18 Aug 2010

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