Galactic rotation curve and dark matter according to gravitomagnetism

Abstract Historically, the existence of dark matter has been postulated to resolve discrepancies between astrophysical observations and accepted theories gravity. In particular, measured rotation curve galaxies provided much experimental support concept. However, most used explain have restricted Newtonian potential framework, disregarding general relativistic corrections associated with mass currents. this paper it is shown that gravitomagnetic field produced by currents modifies galactic curve, notably at large distances. The coupling flux function results in a nonlinear differential equation relates velocity density. solution reproduces without recourse obscure components, as exemplified three characteristic cases. A bi-dimensional model developed allows estimate total mass, central density, overall shape galaxies, while fitting luminosity curves. effects attributed can be simply explained