RIEMANN-CARTAN SPACETIMES OF GODEL TYPE

Citation
Je. Aman et al., RIEMANN-CARTAN SPACETIMES OF GODEL TYPE, Classical and quantum gravity, 15(4), 1998, pp. 1089-1101
Citations number
37
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
15
Issue
4
Year of publication
1998
Pages
1089 - 1101
Database
ISI
SICI code
0264-9381(1998)15:4<1089:RSOGT>2.0.ZU;2-Z
Abstract
A class of Riemann-Cartan Godel-type spacetimes are examined in the li ght of equivalence problem techniques. The conditions for local spacet ime homogeneity are derived, generalizing previous works on Riemannian Godel-type spacetimes. The equivalence of Riemann-Cartan Godel-type s pacetimes of this class is studied. It is shown that they admit a five -dimensional group of affine isometries and are characterized by three essential parameters l, m(2), omega: identical triads (l, m(2), omega ) correspond to locally equivalent manifolds. The algebraic types of t he irreducible parts of the curvature and torsion tensors are also pre sented.