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Symmetry 2014, 6(2), 164-170; doi:10.3390/sym6020164

Spacetime Metrics from Gauge Potentials

Dipartimento di Matematica e Informatica "U. Dini", Università degli Studi di Firenze, Via S. Marta 3,I-50139 Firenze, Italy
Received: 27 January 2014 / Revised: 21 March 2014 / Accepted: 24 March 2014 / Published: 27 March 2014
(This article belongs to the Special Issue Physics based on Two-by-two Matrices)
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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.
Keywords: gauge theory; G-structure; teleparallel theory gauge theory; G-structure; teleparallel theory
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Minguzzi, E. Spacetime Metrics from Gauge Potentials. Symmetry 2014, 6, 164-170.

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