On the dimensional cosmological principles

Mathematics – Logic

Scientific paper

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Astronomical Coordinates, Astronomical Models, Cosmology, Dimensional Analysis, Density Distribution, Dimensionless Numbers, Mass Distribution, Pressure Distribution, Space-Time Functions

Scientific paper

The dimensional cosmological principles proposed by Wesson require that the density, pressure, and mass of cosmological models be functions of the dimensionless variables which are themselves combinations of the gravitational constant, the speed of light, and the spacetime coordinates. The space coordinate is not the comoving coordinate. In this paper, the dimensional cosmological principle and the dimensional perfect cosmological principle are reformulated by using the comoving coordinate. The dimensional perfect cosmological principle is further modified to allow the possibility that mass creation may occur. Self-similar spacetimes are found to be models obeying the new dimensional cosmological principle.

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