Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a....95..362g&link_type=abstract
Astronomy and Astrophysics, vol. 95, no. 2, Mar. 1981, p. 362-365. Financiadora de Estudos e Projetos
Astronomy and Astrophysics
Astrophysics
4
Astronomical Models, Cosmology, Galactic Evolution, Mach Inertia Principle, Metric Space, Universal Time, Conservation Equations, Einstein Equations, Entropy, Mathematical Models
Scientific paper
The Einstein field equations for uniform evolutionary world models with a time varying g(00) are considered. It is possible through g(00), to represent local inertial effects as dependent on the overall structure of the universe. Cosmological models with positive curvature are Machian, whereas open ones are not. Using Whittaker's concept of gravitational mass density it is shown that Einstein's equations are sufficient to constitute a relation which represents Mach's principle. This relation is analogous to the Whitrow-Randall formula, and, by not having the ad hoc character of the latter, it does not justify a time varying gravitational constant. Two modified Friedmann closed universes are inferred from the present theoretical context, whose behaviour simulates cosmic entropy increase.
Gomide F. M.
Uehara Mariko
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