Geometrical aspects on the dark matter problem |
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Authors: | AJS Capistrano LA Cabral |
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Institution: | 1. Federal University of Latin-American Integration, 85867-970, Foz do Iguaçu-PR, Brazil;2. Federal University of Tocantins, 77804-970, Araguaína-TO, Brazil |
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Abstract: | In the present paper we apply Nash’s theory of perturbative geometry to the study of dark matter gravity in a higher-dimensional space–time. It is shown that the dark matter gravitational perturbations at local scale can be explained by the extrinsic curvature of the standard cosmology. In order to test our model, we use a spherically symmetric metric embedded in a five-dimensional bulk. As a result, considering a sample of 10 low surface brightness and 6 high surface brightness galaxies, we find a very good agreement with the observed rotation curves of smooth hybrid alpha-HI measurements. |
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Keywords: | Nash&rsquo s embedding theorem Dark matter Higher-dimensional space&ndash time |
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