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Conservation law of energy-momentum in general relativity

General Relativity and Quantum Cosmology 2018-03-28 v1

Abstract

We explain the necessity of application of semi-metric in general relativity. A detailed discussion on the energy-momentum conservation in the general relativity is presented using the mathematical tool of semi-metric. By means of the general covariant spacetime translation transformation, the most general covariant conservation law of energy-momentum is obtained, which is valid for any coordinates and overcomes the flaws of the expressions of Einstain, Landau and Moller.

Keywords

Cite

@article{arxiv.1803.09651,
  title  = {Conservation law of energy-momentum in general relativity},
  author = {Yi-Shi Duan and Jing-Ye Zhang},
  journal= {arXiv preprint arXiv:1803.09651},
  year   = {2018}
}

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22 pages