On the extension of the Obukhov theorem in non-Riemannian gravity. I

Scipioni, Roberto

doi:10.1063/1.533289

Cited by 3 publications

(1 citation statement)

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“…Eventually, for MAG Lagrangians, the Proca field also came under investigation. Obukhov and Vlachynsky [48] and Dereli et al [Reprint 16.4 ] have shown how one can construct a wide class of such solutions, see also [49]; Scipioni et al [50] have deepend this insight. Recently, for EC, the Kalb-Ramond field has been addressed by Farfán et al [51].…”

Section: Interaction With Neutrino Dirac Scalar Proca and Kalb-ramentioning

confidence: 99%

Gauge Theories of Gravitation

Blagojević¹,

Hehl²

2011

199

106

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During the last five decades, gravity, as one of the fundamental forces of nature, has been formulated as a gauge theory of the Weyl-Cartan-Yang-Mills type. The present text offers commentaries on the articles from the most prominent proponents of the theory, which are a substantial part of the above reprint volume.In the early 1960s, the gauge idea was successfully applied to the Poincaré group of spacetime symmetries and to the related conserved energy-momentum and angular momentum currents. The resulting theory, the Poincaré gauge theory, encompasses Einstein's general relativity as well as the teleparallel theory of gravity as subcases. The spacetime structure is enriched by Cartan's torsion, and the new theory can accommodate fermionic matter and its spin in a perfectly natural way. This guided tour starts from special relativity and leads, in its first part, to general relativity and its gauge type extensionsà la Weyl and Cartan. Subsequent stopping points are the theories of Yang-Mills and Utiyama and, as a particular vantage point, the theory of Sciama and Kibble. Later, the Poincaré gauge theory and its generalizations are explored and special topics, such as its Hamiltonian formulation and exact solutions, are studied. This guide to the literature on classical gauge theories of gravity is intended to be a stimulating introduction to the subject.

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