## 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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### Submission history

[v1] 3 Jan 2011

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