Modified gravitational collapse, or the wonders of the MOND

Abstract

There are many hot discussions in the literature about two competing paradigms in galactic and extra-galactic astronomy and cosmology, namely the Dark Matter and the Modified Newtonian Dynamics (MOND). It is very difficult to challenge MOND from the cosmological side because a full relativistic realisation is needed in the first place, and any failure can then be attributed to a particular model, and not to the MOND itself. We propose to study non-relativistic stages of gravitational collapse in MOND which, we argue, is a relevant task for this competition. Spherically symmetric dust cloud collapse and intrinsic unavoidable non-linearities of the deep MOND regime are discussed. We conclude that complicated, both numerical and analytic, studies of modified gravitational dynamics are needed in order to assess the viability of MOND.

10 pages; minor revisions

References in corpus (5)

• A direct empirical proof of the existence of dark matter
• The dark matter crisis: falsification of the current standard model of cosmology
• Can Cosmic Structure form without Dark Matter?
• Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
• Can MOND type hypotheses be tested in a free fall laboratory environment?

Cited by in corpus (2)

• Contemplating the fate of modified gravity
• Phase transition in Modified Newtonian Dynamics (MONDian) self-gravitating systems