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On an interpretation of non-Riemannian gravitation. (English) Zbl 0988.83060
Summary: Motivated by the invariance of actions under gauge symmetries the definitions of standard clocks in theories of gravitation are discussed. We argue that standard Einsteinian clocks can be defined in non-Riemannian theories of gravitation and that atomic clocks may be adopted to measure proper time in the presence of non-Riemannian gravitational fields. These ideas are illustrated in terms of a recently developed model of gravitation based on a non-Riemannian space-time geometry.

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
53B50 Applications of local differential geometry to the sciences