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Author Evans, G. T. ♦ Sen, D. K.
Sponsorship USDOE
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword Physics (Theoretical)-Gravitation & General Relativity ♦ GENERAL RELATIVITY THEORY ♦ EINSTEIN FIELD EQUATIONS ♦ ELECTROMAGNETIC FIELDS ♦ GEOMETRY ♦ GRAVITATION ♦ MAXWELL EQUATIONS ♦ PROJECTION OPERATORS ♦ SPACE- TIME ♦ TENSORS
Abstract We present a global fomulation of projective theories of relativity in the framework of projective manifolds, that is, manifolds based on the pseudogroup of homogeneous transformations in R/sup 5/. Apart from formulating every previously considered geometric object and physical relation in an invariant manner, some new results, such as the theorem on the semidirect product structure of the invariance group of Einstein-Maxwell equations, and theorems on topological restrictions on the underlying five-dimensional projective manifold, etc. have been obtained. The relationship between space-time and the auxiliary 5- manifold is clarified and investigated in detail. A more general geometric definition of the electromagnetic field tensor and a geometric interpretation of the charge/mass ratio is given. (auth)
Educational Use Research
Learning Resource Type Article
Publisher Date 1973-11-01
Publisher Department Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada
Publisher Place United States
Journal J. Math. Phys.
Organization Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada


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