Generalized Weyl‐type gauge geometry

Weyl‐type gauge geometry based on gauging by GL(4, R) and presented in an earlier paper is developed from an alternative point of view, which emphasizes independent geometric objects as the building blocks. This approach avoids most of the elaborate calculations of the earlier paper, and thus contri...

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Bibliographic Details
Published in:Journal of mathematical physics 1985-08, Vol.26 (8), p.2030-2031
Main Authors: Bergmann, Peter G., Komar, Arthur
Format: Article
Language:English
Subjects:
Exact sciences and technology
General relativity and gravitation
Gravity in more than four dimensions, kaluza-klein theory, unified field theories
alternative theories of gravity
Physics
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Summary:Weyl‐type gauge geometry based on gauging by GL(4, R) and presented in an earlier paper is developed from an alternative point of view, which emphasizes independent geometric objects as the building blocks. This approach avoids most of the elaborate calculations of the earlier paper, and thus contributes to an intuitive understanding. The new building blocks, which are the metric and two different affine connections, uniquely determine the tensorial structures of the earlier paper, and vice versa.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.526874