On pseudoparticle solutions in Yang's theory of gravity

Details On pseudoparticle solutions in Yang's theory of gravity On pseudoparticle solutions in Yang's theory of gravity

Feb 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..175m&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 2, pp.175-187

Mathematics

Logic

25

Scientific paper

Within the framework of differential geometry, Yang's parallel-displacement gauge theory is considered with respect to “pure” gravitational fields. In afour-dimensional Riemannian manifold it is shown that thedouble self-dual solutions obey Einstein's vacuum equations with the cosmological term, whereas the doubleanti-self-dual configurations satisfy the Rainich conditions of Wheeler'sgeometrodynamics. Conformal methods reveal that the gravitational analog of the “instanton” or pseudoparticle solution of Yang-Mills theory was already known to Riemann.

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