On three cosmological models with Hoyle's hypothesis

Mathematics – Logic

Scientific paper

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Cosmology, Mach Inertia Principle, Big Bang Cosmology, Einstein Equations, Red Shift, Relativity, Riemann Manifold, Scalars, Space-Time Functions

Scientific paper

A critical review of Mach's principle leads to the assertion that the inertial energy term of the energy-momentum tensor determines the cosmic three-geometry. This determination may be formulated through use of a scalar equation which yields Whitrow's relation or a scalar equation which includes the cosmological constant. These scalar equations permit introduction of the Pryce-Hoyle tensor into two cosmological models which are neither big-bang nor oscillatory, and which have rather low-red-shifts. In addition, a third model with zero cosmological constant and high redshift is developed on the assumption of time-varying speed of light and time-varying Newtonian gravitational acceleration. Numerical results are presented for this third model.

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