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

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Scientific Paper
Title On the Geometry of the General Solution for the Vacuum Field of the Point-Mass
Author(s) Stephen John Crothers
Keywords Geometry, Vacuum Field, Point-Mass
Published 2005
Journal Progress In Physics
Volume 2
Pages 3-14

Abstract

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.