Fitting rotation curves of galaxies by de RhamGabadadzeTolley massive gravity
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 TolmanOppenheimerVolkoff (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 constantgravity parameter γ ∼m_{g}^{2}C ∼10^{28} m^{1} corresponding to the graviton mass in the range m_{g}∼10^{21}10^{30} eV depending on the choice of the fiducial metric parameter C ∼1 10^{18} m . Fitting the rotation curve of the Milky Way puts a strong constraint on the Yukawatype coupling of the massive graviton exchange as a result of the shell effects.
 Publication:

Physical Review D
 Pub Date:
 September 2018
 DOI:
 10.1103/PhysRevD.98.064008
 arXiv:
 arXiv:1806.06271
 Bibcode:
 2018PhRvD..98f4008P
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Astrophysics of Galaxies;
 High Energy Physics  Phenomenology
 EPrint:
 11 pages, 4 figures