Spacetime Metrics from Gauge Potentials

Author： Minguzzi Ettore  

Publisher： MDPI

E-ISSN： 2073-8994|6|2|164-170

ISSN： 2073-8994

Source： Symmetry, Vol.6, Iss.2, 2014-03, pp. : 164-170

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Abstract

I present an approach to gravity in which the spacetime metric is constructed from a non-Abelian gauge potential with values in the Lie algebra of the group U(2) (or the Lie algebra of quaternions). If the curvature of this potential vanishes, the metric reduces to a canonical curved background form reminiscent of the Friedmann S3 cosmological metric.

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