Other
Scientific paper
Jun 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33.3594g&link_type=abstract
Physical Review D (Particles and Fields), Volume 33, Issue 12, 15 June 1986, pp.3594-3606
Other
19
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Field Theories In Dimensions Other Than Four
Scientific paper
It is shown that a pure gravity theory in d dimensions, with an action quadratic in torsion and curvature, may lead to a spontaneous breaking of the SO(1,d-1) gauge symmetry. The physical vacuum, corresponding to a minimum of the self-interaction torsion potential, is characterized by a constant nonvanishing torsion background, and in the lowest-order expansion of the gravitational field around this configuration, an effective quasi-Riemannian theory is obtained. In particular, all nine parameters of the corresponding quasi-Riemannian action are determined, as a function of the torsion self-interaction coupling strength, for the tangent space groups SO(1,d-4)×SO(3) and SO(1,d-2). Finally, the possibility that a breaking of the local Lorentz symmetry may be associated to a change of sign of the effective four-dimensional gravitational coupling constant is discussed.
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