General Relativity and Gravitation

, Volume 13, Issue 2, pp 175–187 | Cite as

On pseudoparticle solutions in Yang's theory of gravity

  • Eckehard W. Mielke
Research Articles


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.


Manifold Gauge Theory Riemannian Manifold Differential Geometry Gravitational Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Eckehard W. Mielke
    • 1
  1. 1.International Centre for Theoretical PhysicsTriesteItaly

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