Two-spinor Formulation of First Order Gravity coupled to Dirac Fields

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dc.creatorGodina, Marco
dc.creatorMatteucci, Paolo
dc.creatorFatibene, Lorenzo
dc.creatorFrancaviglia, Mauro
dc.date1999-03-05
dc.date.accessioned2026-07-07T11:46:28Z
dc.date.available2026-07-07T11:46:28Z
dc.descriptionTwo-spinor formalism for Einstein Lagrangian is developed. The gravitational field is regarded as a composite object derived from soldering forms. Our formalism is geometrically and globally well-defined and may be used in virtually any 4m-dimensional manifold with arbitrary signature as well as without any stringent topological requirement on space-time, such as parallelizability. Interactions and feedbacks between gravity and spinor fields are considered. As is well known, the Hilbert-Einstein Lagrangian is second order also when expressed in terms of soldering forms. A covariant splitting is then analysed leading to a first order Lagrangian which is recognized to play a fundamental role in the theory of conserved quantities. The splitting and thence the first order Lagrangian depend on a reference spin connection which is physically interpreted as setting the zero level for conserved quantities. A complete and detailed treatment of conserved quantities is then presented.
dc.description16 pages, Plain TEX
dc.identifierhttps://arxiv.org/abs/gr-qc/9903023
dc.identifierhttp://arxiv.org/abs/gr-qc/9903023
dc.identifierGen.Rel.Grav.32:145-160,2000
dc.identifierdoi:10.1023/A:1001804718086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202235
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTwo-spinor Formulation of First Order Gravity coupled to Dirac Fields
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