Strictly MDAR-following galaxies
Date:
A fundamental tenet of MOdified Newtonian Dynamics (MOND) is the Mass Discrepancy Acceleration Relation (MDAR) - a direct link between the acceleration observed and that predicted from Newton’s laws with a significant disparity only when the acceleration is lower than some MOND acceleration constant. Recent observations suggest MDAR indeed holds - at least statistically - on galaxy scales. Here, I consider the implications for dark matter assuming its distribution is such that MDAR is strictly reproduced. I examined the best differntail power law approximation to the dark matter density profile across various prescriptions for MOND interpolating function and baryonic mass distribution; there were very few cases in which the results agreed with those from ΛCDM simulations. Hence, I see a distinguishing feature between MOND and ΛCDM. While MDAR must hold strictly in MOND, it can only ever hold qualitatively in ΛCDM.