## On the Geometry of the General Solution for the Vacuum Field of the Point-Mass

**Authors:** Stephen J. Crothers

The black hole, which arises solely from an incorrect analysis of the Hilbert solution,
is based upon a misunderstanding of the significance of the coordinate radius r. This
quantity is neither a coordinate nor a radius in the gravitational field and cannot of
itself be used directly to determine features of the field from its metric. The appropriate
quantities on the metric for the gravitational field are the proper radius and the curvature
radius, both of which are functions of r. The variable r is actually a Euclidean
parameter which is mapped to non-Euclidean quantities describing the gravitational
field, namely, the proper radius and the curvature radius.

**Comments:** 12 pages

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### Submission history

[v1] 3 Jan 2011

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