Scalar gravitation and cosmology

Mathematics – Logic

Scientific paper

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Cosmology, Fizeau Effect, Gravitation Theory, Hubble Constant, Scalars, Euclidean Geometry, Light Speed, Lorentz Transformations, Red Shift, Relativity

Scientific paper

Some implications of a scalar theory of gravitation developed in a previous paper are discussed. This theory is used to predict a gravitational light drag which is not predictable by Einstein's theory of gravitation. A Lorentz-covariant equation for the gravitational potential is proposed, and the cosmological solution of this equation is used to show that the Hubble red shift and the existence of an apparent 'age' and an 'effective radius' of the universe can be predicted from a model of the universe that is Euclidean, infinite, and nonexpanding, assuming that the universe is filled with a uniform and static density of matter. It is shown that this cosmological model predicts a thermal evolution similar to the evolution predicted in the standard cosmologies. It is also shown that Olbers' paradox is easily resolved within this model, which does not conflict with astronomical observations and is conceptually simpler than models based on Einstein's theory.

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