The Implication of MOND for Dark Haloes

Mathematics – Logic

Scientific paper

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Scientific paper

It is always interesting that how much implication that Milgrom's relation could provide, even phenomenologically. With just one assumption that the gravitational acceleration goes like 1/r instead of Newton's law, 1/r2, when the acceleration is smaller than the value $10-10m/sec2, it is well known that MOND can give a better description of the rotational curves in spiral galaxies. In this research, we explore the configuration of the parameter space for the dark haloes by fitting the rotation curves of halo profiles with the exponential disk for stellar mass to that of MOND. In addition, we find that the baryon mass to the halo mass ratio is lower than the primordial ratio which gives that the total baryon mass is about 15% of the dark matter, and which is consistent with what we generally expect today.

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