Relativity and Cosmology


On the General Solution to Einstein's Vacuum Field for the Point-Mass when λ ≠ 0 and Its Consequences for Relativistic Cosmology

Authors: Stephen J. Crothers

It is generally alleged that Einstein's theory leads to a finite but unbounded universe. This allegation stems from an incorrect analysis of the metric for the point-mass when λ ≠ 0. The standard analysis has incorrectly assumed that the variable r denotes a radius in the gravitational field. Since r is in fact nothing more than a real-valued parameter for the actual radial quantities in the gravitational field, the standard interpretation is erroneous. Moreover, the true radial quantities lead inescapably to λ = 0 so that, cosmologically, Einstein's theory predicts an infinite, static, empty universe.

Comments: 12 pages.

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[v1] 3 Jan 2011

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