Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXLI, No. 35, pp. 97–112 (2010) 

Spinorial matter and general relativity theoryDj. SijackiAbstract: World spinors, the spinorial matter (particles, $p$branes and fields) in a generic curved space is considered. Representation theory, as well as the basic algebraic and topological properties of relevant symmetry groups are presented. Relations between spinorial wave equations that transform respectively w.r.t. the tangent flatspace (anholonomic) Affine symmetry group and the world genericcurvedspace (holonomic) group of Diffeomorphisms are presented. World spinor equations and certain basic constraints that yield a viable physical theory are discussed. A geometric construction based on an infinitecomponent generalization of the frame fields (e.g. tetrads) is outlined. The world spinor field equation in $3D$ is treated in more details. Keywords: General relativity, world spinors, Diraclike equation, $SL(n,{\Bbb R})$ representations Classification (MSC2000): 22E46, 22E65, 58B25, 81T20, 83D05 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 3 Oct 2010. This page was last modified: 20 Jun 2011.
© 2010 Mathematical Institute of the Serbian Academy of Science and Arts
