Abstract
Invariant varieties of suitable semisimple groups of transformations can serve as models of the space-time of the universe. The metric is expressible in terms of the basis vectors of the group. The symmetry of the group is broken by introducing a gauge formalism in the space of the basis vectors with the adjoint group as gauge group. The gauge potentials are expressible in terms of the basis vectors for the case of the De Sitter group. The resulting gauge theory is equivalent to De Sitter covariant general relativity. Group covariant generalizations of gravitational theory are discussed.
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© 1981 D. Reidel Publishing Company
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Halpern, L. (1981). Broken Symmetry of Lie Groups of Transformation Generating General Relativistic Theories of Gravitation. In: Tirapegui, E. (eds) Field Theory, Quantization and Statistical Physics. Mathematical Physics and Applied Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8368-7_8
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DOI: https://doi.org/10.1007/978-94-009-8368-7_8
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