The origin of neutrino masses heralds new physics. In some theories beyond the standard model, existence of sterile neutrinos have been predicted. In this paper, we ask the question: what if sterile neutrinos cause the space-time geometry to be warped in a way that it leads to repulsive gravity? We use a Lambda-CDM model along with a negative gravitational constant for the sterile neutrinos to constrain the extent of anti-gravity sourced by these neutrinos.