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

Spacetime Metrics from Gauge Potentials

Received: 27 January 2014; in revised form: 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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

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

AMA Style

Minguzzi E. Spacetime Metrics from Gauge Potentials. Symmetry. 2014; 6(2):164-170.

Chicago/Turabian Style

Minguzzi, Ettore. 2014. "Spacetime Metrics from Gauge Potentials." Symmetry 6, no. 2: 164-170.

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