Clifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT Spacetimes
Vacaru, Sergiu I.
arXiv, 0502145 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-02-16
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{0502145,
     author = {Vacaru, Sergiu I.},
     title = {Clifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT
  Spacetimes},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502145}
}

Vacaru, Sergiu I. Clifford Algebroids and Nonholonomic Spinor Deformations of Taub-NUT
  Spacetimes. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502145/