Mathematics – Logic
Scientific paper
May 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19..525b&link_type=abstract
General Relativity and Gravitation, Volume 19, Issue 5, pp.525-535
Mathematics
Logic
1
Cosmology:Singularities, Gravitation Theory
Scientific paper
A model of self-interacting scalar and gravitational fields is constructed, in which the vacuum state with spontaneously broken symmetry arises as a solution of the field equations. The gravitational Lagrangian containing curvature-squared contributions is treated in the first-order formalism. The problems of cosmological singularities and conformal anomalies are discussed. In the case of vanishing Weyl tensor and constant scalar curvature, the curvature-squared contributions may be interpreted as being generated by the vacuum polarization, also in first-order formalism.
Bleyer Ulrich
Nikolaenko V. M.
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