Duality in Yang's theory of gravity

Details Duality in Yang's theory of gravity Duality in Yang's theory of gravity

May 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37..997m&link_type=abstract

General Relativity and Gravitation, Volume 37, Issue 5, pp.997-1007

Mathematics

Logic

10

Curvature Squared Gravity, Affine Gravity, Cosmology

Scientific paper

The historical route and the current status of a curvature-squared model of gravity, in the affine form proposed by Yang, is briefly reviewed. Due to its inherent scale invariance, it enjoys some advantage for quantization, similarly as internal Yang-Mills fields. However, the exact vacuum solutions with double duality properties exhibit a ‘vacuum degeneracy’. By modifying the duality via a scale breaking term, we demonstrate that only the Einstein equations with induced cosmological constant emerge for the classical background, even when coupled to matter sources.

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