Spontaneously broken symmetries in gravitational fields

Details Spontaneously broken symmetries in gravitational fields Spontaneously broken symmetries in gravitational fields

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17...63m&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Jan. 1985, p. 63-88.

Mathematics

Logic

4

Astronomical Models, Broken Symmetry, Gauge Theory, Gravitational Fields, Anisotropic Media, Einstein Equations, Gravity Anomalies, Scalars, Topology

Scientific paper

Spontaneous gravitational symmetry breaking in semiclassical models in which the gravitational field is classical and the other fields may be quantum is investigated theoretically, extending the self-consistent unification of gravitational and material fields of Staniukovicz (1965) and Staniukovicz and Melnikov (1983). In the gauge treatment, conformal generalization of the Higgs fields in curved space-time leads to spontaneous symmetry breaking; conformal anomalies are required for the formation of a stable mass spectrum; and the stable state is due to the existence of a gravitational topological charge. In the conventional Einstein framework, it is found that a conformal-invariant massless nonlinear scalar field with gravitational broken symmetry leads to the nonsingular state in an open model, and that the nonsingular cosmology holds for massive scalar fields in radiation-filled universes with constant Lambda. Also included are a treatment of a closed model, a generalized analysis of discrete-symmetry breaking, and the results of computer calculations for massive scalar fields up to the second order in a conformal time (presented in graphs).

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