## On Certain Conceptual Anomalies in Einstein's Theory of Relativity

**Authors:** Stephen J. Crothers

There are a number of conceptual anomalies occurring in the Standard exposition of
Einstein's Theory of Relativity. These anomalies relate to issues in both mathematics
and in physics and penetrate to the very heart of Einstein's theory. This paper reveals
and amplifies a few such anomalies, including the fact that Einstein's field equations for
the so-called static vacuum configuration, R_{μν} =0, violates his Principle of Equivalence,
and is therefore erroneous. This has a direct bearing on the usual concept
of conservation of energy for the gravitational field and the conventional formulation
for localisation of energy using Einstein's pseudo-tensor. Misconceptions as to the
relationship between Minkowski spacetime and Special Relativity are also discussed,
along with their relationships to the pseudo-Riemannian metric manifold of Einstein's
gravitational field, and their fundamental geometric structures pertaining to spherical
symmetry.

**Comments:** 6 pages

**Download:** **PDF**

### Submission history

[v1] 3 Jan 2011

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