General relativistic gravitation as the theory of broken symmetry of intransitive groups of transformations

Mathematics

Scientific paper

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Field Theory (Physics), Gravitation Theory, Gravitational Fields, Relativity, Transformations (Mathematics), Electromagnetic Fields, Manifolds (Mathematics), Symmetry

Scientific paper

General relativistic gravitational theories are constructed from suitable intransitive continuous groups of transformations. A minimal invariant variety forms the unperturbed universe. The formalism of the group is generalized to have the symmetry of its action on this manifold broken by gauge potentials. The theory is expressed in these potentials and it is shown how the present symmetry breaking is related to a general metric. The physical interpretation of the formalism is outlined.

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