Concerning Fundamental Mathematical and Physical Defects in the General Theory of Relativity

Abstract

The physicists have misinterpreted the quantity `r' appearing in the so- called "Schwarzschild solution" as it is neither a distance nor a geodesic radius but is in fact the inverse square root of the Gaussian curvature of a spherically symmetric geodesic surface in the spatial section of the Schwarzschild manifold, and so it does not directly determine any distance at all in the Schwarzschild manifold - in other words, it deter- mines the Gaussian curvature at any point in a spherically symmetric geodesic surface in the spatial section of the manifold. The concept of the black hole is consequently invalid. It is also shown herein that the Theory of Relativity forbids the existence of point-mass singularities because they imply in¯nite energies (or equivalently, that a material body can acquire the speed of light in vacuo), and so the black hole is forbidden by the Theory of Relativity. That Ric=Rμν =0 violates Einstein's `Principle of Equivalence' and so does not describe Einstein's gravitational ¯eld, is demonstrated. It immediately follows that Ein- stein's conceptions of the conservation and localisation of gravitational energy are invalid - the General Theory of Relativity violates the usual conservation of energy and momentum.