Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical torsion models



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Ruiz Cembranos, José Alberto and Gigante Valcarcel, Jorge (2017) Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical torsion models. Physical review D, 96 (2). ISSN 2470-0010

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In the framework of Einstein-Yang-Mills theories, we study the gauge Lorentz group and establish a particular correspondence between this case and a certain class of theories with torsion within RiemannCartan space-times. This relation is specially useful in order to simplify the problem of finding exact solutions to the Einstein-Yang-Mills equations. The applicability of the method is divided into two approaches: one associated with the Lorentz group SO(1, n – 1) of the space-time rotations, and another one with its subgroup SO(n – 2). Solutions for both cases are presented by the explicit use of this correspondence and, interestingly, for the last one by imposing on our ansatz the same kind of rotation and reflection symmetry properties as for a nonvanishing space-time torsion. Although these solutions were found in previous literature by a different approach, our method provides an alternative way to obtain them, and it may be used in future research to find other exact solutions within this theory.

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© 2017 American Physical Society. We would like to thank Luis J. Garay and Antonio L. Maroto for helpful discussions. This work has been supported in part by the MINECO (Spain) Project Nos. FIS2014-52837-P, FPA2014-53375-C2-1-P, FIS2016-78859-P (AEI/FEDER, UE), and Consolider Ingenio MULTIDARK Grant. No. CSD2009-00064. J. A. R. C. acknowledges financial support from a José Castillejo grant (2015). J. G. V. acknowledges support from a MULTIDARK summer student fellowship (2015).

Uncontrolled Keywords:General-relativity; Gauge-theory; Gravity; Invariance; Equations; Spin.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:45001
Deposited On:22 Nov 2017 11:54
Last Modified:11 Dec 2017 11:12

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