Gravitational instability in Newtonian cosmology with varying G

Details Gravitational instability in Newtonian cosmology with varying G Gravitational instability in Newtonian cosmology with varying G

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984rbrfi..14..208b&link_type=abstract

Revista Brasileira de Fisica (ISSN 0374-4922), vol. 14, June 1984, p. 208-220.

Mathematics

Logic

Cosmology, Gravitation Theory, Gravitational Constant, Newton Theory, Perturbation Theory, Continuity Equation, Dirac Equation, Euler Equations Of Motion, Poisson Equation

Scientific paper

Use is made of McVittie's model (1978) for Newtonian cosmologies with time-varying G as unperturbed universe, in the study of linear-density perturbations. A general equation for the density fluctuation is obtained. In the case with null pressure and G proportional to 1/t (Dirac cosmological model) there results that the fluctuation density grows faster than the corresponding case for G constant. It is, however, insufficient to explain the formation of galaxies. The situation where p is not equal to 0 and k = 0, in the case of ideal monoatomic gas, leads only to oscillating solutions. Finally, a model that approximates a particular solution of Brans-Dicke theory leads to a perturbation that differs slightly from classical or relativistic ones, although insufficient for the applications mentioned above.

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