The necessity of dark matter in MOND within galactic scales

Abstract

To further test MOdified Newtonian Dynamics (MOND) on galactic scales -- originally proposed to explain the rotation curves of disk galaxies without dark matter -- we study a sample of six strong gravitational lensing early-type galaxies from the CASTLES database. To determine whether dark matter is present in these galaxies, we compare the total mass (from lensing) with the stellar mass content (from a comparison of photometry and stellar population synthesis). We find that strong gravitational lensing on galactic scales requires a significant amount of dark matter, even within MOND. On such scales a 2 eV neutrino cannot explain this excess matter -- in contrast with recent claims to explain the lensing data of the bullet cluster. The presence of dark matter is detected in regions with a higher acceleration than the characteristic MONDian scale of $\sim 10^{-10}$m/s${}^2$. This is a serious challenge to MOND unless the proper treatment of lensing is qualitatively different (possibly to be developed within a consistent theory such as TeVeS).

arXiv comment5 pages, 3 figures, 1 table Amended version to match publication in Phys. Rev. lett

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• Testing MOND Over a Wide Acceleration Range in X-Ray Ellipticals
• Equilibrium configurations of 11eV sterile neutrinos in MONDian galaxy clusters
• Can TeVeS avoid Dark Matter on galactic scales?
• Tests of General Relativity on Astrophysical Scales
• Do Newton's G and Milgrom's a_0 vary with cosmological epoch ?
• MOND and the lensing Fundamental Plane: No need for dark matter on galaxy scales
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• Confronting MOND and TeVeS with strong gravitational lensing over galactic scales: an extended survey
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• Testing the tensor-vector-scalar Theory with the latest cosmological observations
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• Effects of spacetime anisotropy on the galaxy rotation curves
• The Dark Matter Constraints on the Left-Right Symmetric Model with Z_2 Symmetry
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