Some remarks on exact solutions in the scale-covariant theory of gravitation

Physics

Scientific paper

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Covariance, Gravitation Theory, Relativity, Big Bang Cosmology, Conformal Mapping, Field Theory (Physics)

Scientific paper

Exact solutions in the scale-covariant theory of gravitation are presently obtained from the corresponding general relativistic solutions by means of a simple method. While in general relativity all orthogonal, spatially homogeneous cosmologies with zero cosmological constant originate at a big-bang singularity, such a singularity can be avoided by the scale-covariant theory. It is readily shown that, in the scale-covariant theory, a shear-free universe can be constructed which has rotation as well as expansion.

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