English

Covariant Energy-Momentum Conservation In General Relativity

General Relativity and Quantum Cosmology 2008-02-03 v3

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.

Keywords

Cite

@article{arxiv.gr-qc/9701028,
  title  = {Covariant Energy-Momentum Conservation In General Relativity},
  author = {Philip E. Gibbs},
  journal= {arXiv preprint arXiv:gr-qc/9701028},
  year   = {2008}
}

Comments

12 pages, postscript, no figures, references added