## 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

**Download:** **PDF**

### Submission history

[v1] 3 Jan 2011

**Unique-IP document downloads:** 75 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*