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ON THE GEOMETRIC EFFECT OF DARK MATTER
https://doi.org/10.1142/S021830131104013XCited by:0 (Source: Crossref)
Abstract
We study the effect of the extrinsic curvature on the rotation curves within the context of brane-world, in a 5-d bulk with constant curvature. The covariant equations of motion for the brane-world are applied to determine the modified Newtonian potential approximation and the velocity curve. We consider a static disk galaxy which is composed only of ordinary visible matter. Using the Weyl static metric as a model, we find that the velocity curve is given by the square root of a small power of the radial distance to the galactic core.
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