We present a global formulation of projective theories of relativity in the framework of projective manifolds, that is, manifolds based on the pseudogroup of homogeneous transformations in 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.
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November 1973
Research Article|
November 01 1973
Projective manifolds and projective theory of relativity
G. T. Evans;
G. T. Evans
Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada
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D. K. Sen
D. K. Sen
Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada
Search for other works by this author on:
G. T. Evans
D. K. Sen
Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada
J. Math. Phys. 14, 1668–1674 (1973)
Article history
Received:
March 27 1973
Citation
G. T. Evans, D. K. Sen; Projective manifolds and projective theory of relativity. J. Math. Phys. 1 November 1973; 14 (11): 1668–1674. https://doi.org/10.1063/1.1666241
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