Brans-Dicke solitons as finite perturbations on perfect-fluid FRW models in general relativity

Details Brans-Dicke solitons as finite perturbations on perfect-fluid FRW models in general relativity Brans-Dicke solitons as finite perturbations on perfect-fluid FRW models in general relativity

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..641d&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, April 1, 1988, p. 641-643. CONICET-CONICOR-supported research.

Astronomy and Astrophysics

Astronomy

1

Astronomical Models, Gravitation Theory, Perturbation Theory, Relativity, Universe, Einstein Equations, Ideal Fluids, Inverse Scattering, Solitary Waves, Tensor Analysis

Scientific paper

The relation between a class of vacuum solutions in the Brans-Dicke theory of gravitation and perfect barotropic fluid Friedmann-Robertson-Walker cosmologies which can be related to five-dimensional vacuum solutions of Einstein's equations is considered. A family of solitonic solutions of the Einstein equations obtained by the application of the inverse scattering technique in five dimensions followed by a subsequent Kaluza-Klein dimensional reduction procedure and a conformal rescaling. The effective energy-momentum tensor that appears is equivalent to that of the Brans-Dicke theory of gravitation. For large time values the metric approaches that of a flat FRW universe with a barotropic perfect fluid as material content. The solutions are a particular case of a family previously presented, together with a new renormalisation procedure for the inverse scattering technique.

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