Fitting rotation curves of galaxies by de Rham-Gabadadze-Tolley massive gravity
PHYSICAL REVIEW D(2018)
Abstract
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.
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Key words
mass variability
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