On pseudoparticle solutions in Yang's theory of gravity |
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Authors: | Eckehard W Mielke |
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Institution: | (1) International Centre for Theoretical Physics, Trieste, Italy |
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Abstract: | 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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