Statistics – Computation
Scientific paper
Aug 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.158..229r&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 158, no. 2, Aug. 1989, p. 229-257. Research supported by CNPq.
Statistics
Computation
4
Astronomical Models, Computational Astrophysics, Cosmology, Relativistic Theory, Dynamical Systems, Field Theory (Physics), Gravitation Theory, Ideal Fluids, Minkowski Space, Phase Diagrams, Poincare Spheres, Qualitative Analysis
Scientific paper
Homogeneous and isotropic cosmological models in Brans-Dicke (1961) theory are discussed in the framework of dynamical system theory. The study is restricted to Friedmann-Robertson-Walker-type line elements with zero-spatial curvature and sources that are perfect fluids with an equation of state p = lambda(rho), where lambda is between 0 and 1. The phase portraits of this system are projected onto Poincare's sphere. The results are used to study the behavior of the phase diagrams at infinity, the existence of cosmological singularities, and the stability of Minkowski's space-time.
de Mello Neto R. T. J.
Oliveira H. P.
Romero Carlos
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