On the Relationship between Modified Newtonian Dynamics and Dark Matter | Zendy

Jörn Dunkel | Zendy

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On the Relationship between Modified Newtonian Dynamics and Dark Matter

Author(s) -

Jörn Dunkel

Publication year - 2004

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/382697

Subject(s) - modified newtonian dynamics , physics , dark matter , newtonian dynamics , newtonian fluid , gravitation , dynamics (music) , astrophysics , newtonian potential , newtonian limit , theoretical physics , dark fluid , classical mechanics , mathematical physics , galaxy rotation curve , cosmology , galaxy , dark energy , galaxy formation and evolution , acoustics

Numerous astrophysical observations have shown that classical Newtoniandynamics fails on galactic scales and beyond, if only visible matter is takeninto account. The two most popular theoretical concepts dealing with thisproblem are Dark Matter (DM) and Modified Newtonian Dynamics (MOND). In thefirst part of this paper it is demonstrated that a generalized MOND equationcan be derived in the framework of Newtonian Dark Matter theory. For systemssatisfying a fixed relationship between the gravitational fields caused by DMand visible matter, this generalized MOND equation reduces to the traditionalMOND law, first postulated by Milgrom. Therefore, we come to the conclusionthat traditional MOND can also be interpreted as special limit case of DMtheory. In the second part, a formal derivation of the Tully-Fisher relation isdiscussed.Comment: 5 pages, accepted for publication in Astrophys. J. Letter

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