General covariant energy-momentum conservation law in general spacetime.

Details General covariant energy-momentum conservation law in general spacetime. General covariant energy-momentum conservation law in general spacetime.

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20..485d&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 5, pp.485-496

Physics

10

Gravitation Theory

Scientific paper

We discuss the conservation laws in general spacetime with torsion and nonmetricity by use of the Noether theorem. We give a general Lagrangian density, which can be reduced to the one given by Rauch and Nieh (1981). The general covariant energy-momentum conservation law is obtained with respect to the general displacement transformationX μ' =X μ +e {/a μ} b b , which is a special case of general conservation laws. It is shown that in such a case, the existence of superpotentials is assured. The results are the natural extension of references [1,2].

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