%0 Journal Article %T Against Geometry: Nonstandard General Relativity %A Gunter Scharf %J Open Access Library Journal %V 2 %N 3 %P 1-10 %@ 2333-9721 %D 2015 %I Open Access Library %R 10.4236/oalib.1101389 %X 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. %K Dark Matter %K General Relativity %U http://www.oalib.com/paper/3143395