Universal Modified Newtonian Dynamics Relation between the Baryonic and “Dynamical” Central Surface Densities of Disc Galaxies - INSPIRE

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Universal Modified Newtonian Dynamics Relation between the Baryonic and “Dynamical” Central Surface Densities of Disc Galaxies

Mordehai Milgrom

Jul 18, 2016

5 pages

Published in:

Phys.Rev.Lett. 117 (2016) 14, 141101

Published: Sep 27, 2016

e-Print:

1607.05103 [astro-ph.GA]

DOI:

10.1103/PhysRevLett.117.141101

View in:

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Abstract: (APS)

I derive a new modified Newtonian dynamics (MOND) relation for pure-disc galaxies: The “dynamical” central surface density, ΣD0, deduced from the measured velocities, is a universal function of only the true, “baryonic’’ central surface density, ΣB0: ΣD0=ΣMS(ΣB0/ΣM), where ΣM≡a0/2πG is the MOND surface density constant. This surprising result is shown to hold in both existing, nonrelativistic MOND theories. S(y) is derived: S(y)=∫0yν(y′)dy′, with ν(y) being the interpolating function of the theory. The relation aymptotes to ΣD0=ΣB0 for ΣB0≫ΣM, and to ΣD0=(4ΣMΣB0)1/2 for ΣB0≪ΣM. This study was prompted by the recent finding of a correlation between related attributes of disc galaxies by Lelli et al.. The MOND central-surface-densities relation agrees very well with these results.

Note:

Physical Review Letters, in press. Added a discussion of generalizations. 5 pages, 1 figure

04.50.Kd
95.35.+d

References(14)

Figures(1)

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