Dirac Spinors and Their Application to Bianchi-I Space-Times in 5 Dimensions

Wave Equations in Bianchi Space-Times

Spinors and the Dirac Equation

The Dirac equation can be derived using the relativistic relation between mass and energy E = m (normalized units) and the symmetries of the universe, so it is necessary to have a firm grasp on the latter. The relativistic symmetry group is the orthochronous Poincare group SO(1, 3) n R, though we shall mainly use just the orthochronous Lorentz group SO(1, 3). Its Lie algebra is so(1, 3). We fir...

cast or acrylic splints-their application in oral and maxillofacial surgery

چکیده ندارد.

Limits of space-times in five dimensions and their relation to the Segre Types

A limiting diagram for the Segre classification in 5-dimensional space-times is obtained, extending a recent work on limits of the energy-momentum tensor in general relativity. Some of Geroch’s results on limits of space-times in general relativity are also extended to the context of five-dimensional Kaluza-Klein space-times. pacs numbers: 04.20.Cv 04.50.+h 04.20.Jb 04.20.-q

2 Ju n 20 00 Symmetries of Bianchi I space - times

All diagonal proper Bianchi I space-times are determined which admit certain important symmetries. It is shown that for Homotheties, Conformal motions and Kinematic Self-Similarities the resulting space-times are defined explicitly in terms of a set of parameters whereas Affine Collineations, Ricci Collineations and Curvature Collineations, if they are admitted, they determine the metric modulo...