Against Geometry: Nonstandard General Relativity

Günter Scharf

Physics Institute, University of Zürich, Zürich, Switzerland.

DOI: 10.4236/oalib.1101389                

Abstract

We show that the Schwarzschild solution can be embedded in a class of nonstandard solutions of the vacuum Einstein’s equations with arbitrary rotation curves. These nonstandard solutions have to be taken as physical, if dark matter as needed in the standard theory cannot be found. As a consequence general relativity is considered as a classical field theory in Minkowski space and not as a geometric theory in the sense of Einstein. Assuming an asymptotically flat rotation curve and introducing a material disk into this model we find a matter density in accordance with the Tully-Fisher relation.

Keywords

Dark Matter, General Relativity

Conflicts of Interest

The authors declare no conflicts of interest.

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