Conservation law of energy-momentum in general relativity
Yi-Shi Duan, Jing-Ye Zhang
TL;DR
This paper discusses the importance of semi-metric in general relativity and derives a general covariant energy-momentum conservation law that addresses previous limitations.
Contribution
It introduces a semi-metric approach to derive a universally valid covariant energy-momentum conservation law in general relativity.
Findings
Derivation of a general covariant conservation law of energy-momentum.
Addresses flaws in Einstein, Landau, and Moller formulations.
Highlights the necessity of semi-metric in the theory.
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.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories