Newtonian cosmology with a varying gravitational constant

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

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16..391v&link_type=abstract

Celestial Mechanics, vol. 16, Dec. 1977, p. 391-406.

Computer Science

5

Cosmology, Gravitational Constant, Newton Theory, Closure Law, Differential Equations, Hubble Diagram, Time Functions

Scientific paper

A Newtonian cosmology with a gravitational constant diminishing with time according to Dirac's suggestion of G = A/k + t, where t is the age of the universe and k is a small constant inserted to avoid singularities, is developed. This expression for G in conjunction with Bondi's differential equation for the scale factor R leads to an equation from which it emerges that the scale factor has one and only one maximum, or it must increase indefinitely. The conditions for a maximum yield a boundary curve for closure density (minimum density for closure of the universe) versus Hubble's constant. It appears that the model with diminishing G is compatible only with an open universe.

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