Distinguishing Modified Newtonian Dynamics from dark matter with galaxy-galaxy lensing measurements




Tian, Lanlan

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As an alternative to dark matter, Modified Newtonian Dynamics (MOND) can explain dynamical measurements of galaxies on small scales. It is, however, unclear whether MOND still works for galaxies on the large scale. In this study, we use galaxy- galaxy (g-g) weak lensing measurements to examine MOND in the outer regions of galaxies. First, we study the amplitude of the weak gravitational lensing signal as a function of stellar mass around relatively isolated galaxies. We find that our measurements are inconsistent with the predictions from MOND. Second, we examine whether MOND can produce an anisotropic lensing signal as observed in the real data. Starting with a mass distribution of an extremely high ellipticity, we find it is very hard for MOND to reproduce the observed extensive anisotropic lensing signal from only the visible mass. Because the g-g lensing is measured at radii of up to hundreds of kiloparsecs, these two tests indicate that MOND does not work in outer regions of galaxies. Our study casts serious doubt on the notation that MOND can convincingly prove itself as a viable alternative to dark matter.



Dark Matter, MOND, galaxy-galaxy lensing