Self-Dual Action for Fermionic Fields and Gravitation

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dc.creatorMorales-Tecotl, Hugo A.
dc.creatorEsposito, Giampiero
dc.date1995-06-29
dc.date.accessioned2026-07-07T12:01:22Z
dc.date.available2026-07-07T12:01:22Z
dc.descriptionThis paper studies the self-dual Einstein-Dirac theory. A generalization is obtained of the Jacobson-Smolin proof of the equivalence between the self-dual and Palatini purely gravitational actions. Hence one proves equivalence of self-dual Einstein-Dirac theory to the Einstein-Cartan-Sciama-Kibble-Dirac theory. The Bianchi symmetry of the curvature, core of the proof, now contains a non-vanishing torsion. Thus, in the self-dual framework, the extra terms entering the equations of motion with respect to the standard Einstein-Dirac field equations, are neatly associated with torsion.
dc.description13 pages, plain-tex, recently appearing in Nuovo Cimento B, volume 109, pages 973-982, September 1994
dc.identifierhttps://arxiv.org/abs/gr-qc/9506073
dc.identifierhttp://arxiv.org/abs/gr-qc/9506073
dc.identifierNuovoCim.B109:973-982,1994
dc.identifierdoi:10.1007/BF02726144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207072
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSelf-Dual Action for Fermionic Fields and Gravitation
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