Journal Article

Constraining the MOdified Newtonian Dynamics from spherically symmetrical hydrodynamic accretion

Nirupam Roy

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 413, issue 4, pages 2873-2876
Published in print June 2011 | ISSN: 0035-8711
Published online May 2011 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2011.18365.x
Constraining the MOdified Newtonian Dynamics from spherically symmetrical hydrodynamic accretion

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The MOdified Newtonian Dynamics (MOND) is an alternative to the dark matter assumption that can explain the observed flat rotation curve of galaxies. Here hydrodynamic accretion is considered to critically check the consistency and to constrain the physical interpretation of this theory. It is found that, in case of spherically symmetrical hydrodynamic accretion, the modified Euler's equation has real solution if the interpretation is assumed to be a modification of the law of dynamics. There is no real solution if it is assumed to be an acceleration-scale-dependent modification of the gravitational law. With the modified Euler's equation, the steady-state mass accretion rate is found to change up to ∼15 per cent. The astrophysical and cosmological implications of these results are also discussed.

Keywords: accretion, accretion discs; gravitation; hydrodynamics; cosmology: theory

Journal Article.  2695 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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