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 S^3 cosmological metric
Spacetime Metrics from Gauge Potentials / Ettore Minguzzi. - In: SYMMETRY. - ISSN 2073-8994. - ELETTRONICO. - 6:(2014), pp. 164-170. [10.3390/sym6020164]
Spacetime Metrics from Gauge Potentials
MINGUZZI, ETTORE
2014
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 S^3 cosmological metric
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