On Newtonian cosmology with a varying gravitational constant

Details On Newtonian cosmology with a varying gravitational constant On Newtonian cosmology with a varying gravitational constant

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16..407s&link_type=abstract

Celestial Mechanics, vol. 16, Dec. 1977, p. 407-409. NSF-supported research.

Physics

3

Cosmology, Gravitational Constant, Newton Theory, Asymptotic Methods, Boundary Value Problems, Differential Equations, Kepler Laws

Scientific paper

The asymptotic properties of the solution of the differential equation obtained by Vinti (1977) for the scale factor in a Newtonian cosmology, in which the gravitational constant diminishes as B/k + t, where B and k are positive constants, are investigated. This approach is simpler than searching for explicit solutions of the equation. It yields stronger results in the form of asymptotic relations, rather than bounds, for the scale factor R, dR/dt, and Hubble's constant. Vinti's results on the initial conditions leading to the various motions are recovered.

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