Rotation curves, dark matter and general relativity

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We study the possibility of pure general relativistic models without exotic matter to describe the observed flattening of the rotation curves for stars moving in circular orbits in a galaxy disk. In particular we consider the dragging of inertial frames (rotation of the source) and the presence of a Taub-NUT (Newman-Unti-Tamburino) ``charge'', the gravitational equivalent to a magnetic monopole in electrodynamics. Also the recent model of general relativistic galaxy disk proposed by Cooperstock and Tieu (2005) to fit the rotation curves for specific galaxies is discussed following Vogt and Letelier (2005a). We present explicit models of thick disks with rotation as in Vogt and Letelier (2005b)and other thin disks based in the Taub-NUT metric like in González and Letelier (2000). F. I. Cooperstock and S. Tieu, preprint: astro-ph/051204. D. Vogt and P. S. Letelier, preprint: astro-ph/0510750. G.A. González and P.S. Letelier, Phys. Rev. D 62, 064025 (2000). D. Vogt and P.S. Letelier, MNRS 363, 268 (2005b)

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