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Bräunlich, G. and Scharf, G. (2010) Gravitational Lensing and Rotation Curve. General Relativity and Gravitation, 43, 143-154.

has been cited by the following article:

• TITLE: Against Geometry: Nonstandard General Relativity

  AUTHORS: Günter Scharf

  KEYWORDS: Dark Matter, General Relativity

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.3, March 18, 2015

  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.