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Clifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT Spacetimes | | Sergiu I. Vacaru
; | | Date: |
16 Feb 2005 | | Subject: | High Energy Physics - Theory; Mathematical Physics; Differential Geometry | hep-th gr-qc math-ph math.DG math.MP | | Abstract: | In 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. | | Source: | arXiv, hep-th/0502145 | | Services: | Forum | Review | PDF | Favorites | |
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