Fitting rotation curves of galaxies by de Rham-Gabadadze-Tolley massive gravity

We investigate the effects of massive gravitons on the rotation curves of the Milky Way, spiral galaxies, and low surface brightness (LSB) galaxies. Using a simple de Rham, Gabadadze, and Tolley (dRGT) massive gravity model, we find a static spherically symmetric metric and a modified Tolman-OppenheimerVolkoff (TOV) equation. The dRGT nonlinear graviton interactions generate density and pressures, which behave like dark energy that can mimic the gravitational effects of a dark matter halo. We find that rotation curves of most galaxies can be fitted well by a single constant-gravity paramete gamma similar to m(g)(2)C 10(-28) m(-1) corresponding to the graviton mass in the range m(g) similar to 10(-21) - 10(-30) eV depending on the choice of the fiducial metric parameter C similar to 1 - 10(18) m. Fitting the rotation curve of the Milky Way puts a strong constraint on the Yukawa-type coupling of the massive graviton exchange as a result of the shell effects.