Geometry based critique of general relativity theory

摘要

In this paper it is shown that the general relativity theory (GRT), which belongs to a class of metric theories of gravity, is based on a wrong assumption and contradicts the well established laws of physics and also its own maximum speed postulate. It is shown based on simple arguments of geometry that in GRT the motion of a test body in an orbit around the centrally gravitating mass does not satisfy the conservation of angular momentum and that the equation describing the equivalence of acceleration with the force of gravity violates the contravariance principle. Finally,it is shown that the GRT also violates the Gauss law. The critique rests on a comparison of the Schwarzschild metric, derived from Einstein field equations, with the previously derived author's new metric from which the Schwarzschild metric follows as a first order approximation but which is not derived from Einstein field equations.