Author: Halpern L.
Publisher: Springer Publishing Company
ISSN: 0020-7748
Source: International Journal of Theoretical Physics, Vol.40, Iss.1, 2001-01, pp. : 243-250
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Dirac's de Sitter covariant spinor wave equation, expressed on the group manifold of G = SO(3, 2) in terms of invariant vectors, gives rise to a modified Kaluza—Klein (KK) formalism with the Lorentz subgroup H = SO(3, 1) as typical fiber and the anti-de Sitter (AdS) space as base of the principal fiber bundle on G. The resulting gauge theory of gravitation gives an incomplete description of spinning particles because spin, considered as a generalized charge, has space-time properties. It is shown how the geometrical structure has to be altered to further modify the gauge formalism to a consistent theory of spin and gravitation. The resulting gravitational field equations on the bundle include torsion, and their projection on space-time is of higher nonlinearity in the curvature.
Related content
Gravitational fluctuations in de Sitter cosmology
Journal of Physics: Conference Series , Vol. 314, Iss. 1, 2011-09 ,pp. :
Dirac Fields in 3D de Sitter Spacetime
General Relativity and Gravitation, Vol. 36, Iss. 6, 2004-06 ,pp. :
The Dirac System on the Anti-de Sitter Universe
Communications in Mathematical Physics, Vol. 283, Iss. 1, 2008-10 ,pp. :