On the consequences of a cosmological model with a time-dependent cosmological 'constant' and the relationship between Einstein equivalence principle, Mach's principle and Dirac's principle

Details On the consequences of a cosmological model with a time-dependent cosmological 'constant' and the relationship between Einstein equivalence principle, Mach's principle and Dirac's principle On the consequences of a cosmological model with a time-dependent cosmological 'constant' and the relationship between Einstein equivalence principle, Mach's principle and Dirac's principle

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ncimb..87..148h&link_type=abstract

Nuovo Cimento B, Serie 11 (ISSN 0369-3554), vol. 87 B, June 11, 1985, p. 148-156.

Mathematics

Logic

2

Big Bang Cosmology, Constants, Dirac Equation, Galactic Evolution, Mach Inertia Principle, Relativity, Astronomical Models, Cosmic Dust, Einstein Equations, Equivalence, Time Dependence

Scientific paper

Within the framework of a cosmological model with a time-dependent cosmological constant (Lambda), the evolutionary behavior of the universe during the radiation-dominated and matter-dominated eras is examined. The smallness of the cosmological constant and the origin of galaxy formation are explained. For a dust-filled universe with p = about 0, the model yields a cosmological solution k = -1, R = about t. The relationship among the Einstein equivalence principle, Mach's principle, and Dirac's principle is also elucidated through the time-dependent Lambda. It is shown that these principles are compatible, and that Mach's principle and Dirac's principle can be viewed as an initial-value condition and a dynamic consequence of Einstein's equations (satisfying the Einstein equivalence principle), respectively.

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