Astrophysical data and cosmological solutions of a Kaluza-Klein theory of gravity

Statistics – Computation

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Computational Astrophysics, Cosmology, Gravitation Theory, Mass, Strength, Variations

Scientific paper

Astrophysical data are considered which constrain a possible change over long times in the strength of gravity, as measured for example by the rest mass of a typical particle. A natural framework for studying this possibility is a five-dimensional Kaluza-Klein theory that contains Einstein's four-dimensional theory as a special case. A spatially flat cosmological metric is taken, and the field equations are solved in the case where the metric coefficients depend on the time only and not on the fifth coordinate. When the latter is interpreted as the mass, the solutions are relevant to the embedding for general relativity with variable rest mass proposed by Wesson (1983, 1984). In this interpretation, the solutions have some interesting consequences, such as allowing rest mass to increase from zero at time zero, thereby removing some of the difficulties associated with the conventional big bang.

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