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

Léopold Halpern | Zendy

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

Author(s) -

Léopold Halpern

Publication year - 1979

Publication title -

general relativity and gravitation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.822

H-Index - 94

eISSN - 1572-9532

pISSN - 0001-7701

DOI - 10.1007/bf00756585

Subject(s) - physics , theoretical physics , gravitation , formalism (music) , mathematical physics , symmetry group , parameterized post newtonian formalism , symmetry breaking , gauge theory , general relativity , classical mechanics , quantum mechanics , classical field theory , geometry , art , musical , mathematics , visual arts

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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