Clifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT Spacetimes

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dc.creatorVacaru, Sergiu I.
dc.date2005-02-16
dc.date.accessioned2026-07-07T04:18:04Z
dc.date.available2026-07-07T04:18:04Z
dc.descriptionIn this paper we examine a new class of five dimensional (5D) exact solutions in extra dimension gravity possessing Lie algebroid symmetry. The constructions provide a motivation for the theory of Clifford nonholonomic algebroids elaborated in Ref. hep-th/0501217. Such Einstein-Dirac spacetimes are parametrized by generic off--diagonal metrics and nonholonomic frames (vielbeins) with associated nonlinear connection structure. They describe self-consistent propagations of (3D) Dirac wave packets in 5D nonholonomically deformed Taub NUT spacetimes and have two physically distinct properties: Fist, the metrics are with polarizations of constants which may serve as indirect signals for the presence of higher dimensions and/or nontrivial torsions and nonholonomic gravitational configurations. Second, such Einstein-Dirac solutions are characterized by new type of symmetries defined as generalizations of the Lie algebra structure constants to nonholonomic Lie algebroid and/or Clifford algebroid structure functions.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0502145
dc.identifierhttp://arxiv.org/abs/hep-th/0502145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53028
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleClifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT Spacetimes
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