Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Any connection between dark matter and extra dimensions is revealed by the effective energy-momentum tensor associated with the theory. In order to investigate and test such a relationship, we examine a higher-dimensional space-time endowed with a factorizable general metric with a configuration such that its density profile coincides with the Newtonian potential for disk galaxies. An appropriate solution representing stratifications of mass in the central-bulge and disk part of galaxies, e.g., the Miyamoto-Nagai ansatz, is used to solve the Einstein equations. We compute the stable rotation curves of such systems and, with no adjustable parameters, accurately recover the observational data for flat or not asymptotically flat galaxy rotation curves. We present examples of density profiles and compare them to the profile obtained from purely Newtonian potentials.4241671100109Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)CAPES [3874-07-9]