We consider the density profile of pressureless dark matter in Eddington-inspired Born-Infeld ( EiBI ) gravity .
The gravitational field equations are investigated for a spherically symmetric dark matter galactic halo , by adopting a phenomenological tangential velocity profile for test particles moving in stable circular orbits around the galactic center .
The density profile and the mass distribution , as well as the general form of the metric tensor is obtained by numerically integrating the gravitational field equations , and in an approximate analytical form by using the Newtonian limit of the theory .
In the weak field limit the dark matter density distribution is described by the Lane-Emden equation with polytropic index n = 1 , and is non-singular at the galactic center .
The parameter \kappa of the theory is determined so that that the theory could provide a realistic description of the dark matter halos .
The gravitational properties of the dark matter halos are also briefly discussed in the Newtonian approximation .