Statistics – Computation
Scientific paper
Feb 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6..209b&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Feb. 1, 1989, p. 209-218. Research supported by CNPq and Conselho Nacion
Statistics
Computation
Computational Astrophysics, Cosmology, Gravitation Theory, Gravitational Fields, Universe, Distribution Functions, Perturbation Theory, Relativity, Scalars, Vlasov Equations, Wave Equations
Scientific paper
The gravitational instability of a cosmological model in the presence of a scalar field is studied using the Brans-Dicke theory to describe the gravitational interaction. Using an isotropic distribution function to describe the matter of the universe and assuming a 'de Donder type' gauge condition, the wave equation is solved for the perturbed gravitational field. Here, as in the case of general relativity, the gravitational field is completely classified by its spin and helicity. By using the two-timescales method the perturbed equation for zero helicity waves is solved for the case p = 0 and the time behavior of the density contrast is shown. The result shows that the density perturbation grows slightly faster than previously shown by general relativity. This effect is associated with the presence of the scalar field. However, this growth is not explosive.
Baptista Jose Plinio
Batista Antonio Brasil
Fabris Julio Cesar
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