Conservation laws and integrability conditions for gravitational and Yang-Mills field equations

Details Conservation laws and integrability conditions for gravitational and Yang-Mills field equations Conservation laws and integrability conditions for gravitational and Yang-Mills field equations

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cmaph.108..213d&link_type=abstract

Communications in Mathematical Physics, Volume 108, Issue 2, pp.213-223

Mathematics

Mathematical Physics

36

Scientific paper

We show that expressed in the appropriate principal bundles, the gravitational and Yang-Mills fields equations are equivalent to integrability conditions and that the latter can also be interpreted, using local sections, as conservation equations of the local pseudo-densities of energy-momentum and Yang-Mills charge respectively. These densities can be related using a Kaluza-Klein unification.

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