; Li, Xin] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
A modified Newton's gravity is obtained as the weak field approximation of the Einstein's equation in Finsler space. It is found that a specified Finsler structure makes the modified Newton's gravity equivalent to the modified Newtonian dynamics (MOND). In the framework of Finsler geometry, the flat rotation Curves of spiral galaxies can be deduced naturally Without invoking dark matter. (C) 2008 Elsevier B.V. All rights reserved.