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Modified gravitational collapse, or the wonders of the MOND

General Relativity and Gravitation volume 46, Article number: 1754 (2014) Cite this article

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.

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Notes

  1. Or may be warm but definitely not hot.

  2. To be honest, visible baryonic mass (stars and hot interstellar gas).

  3. With \(|\nabla \phi |\rightarrow 0\) at \(r\rightarrow \infty \) as the boundary condition.

  4. Under different reasonings, this mass value \(m_{\star }\) has been mentioned in many papers on the subject including the very first one [1].

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Acknowledgments

AG is supported by Russian Foundation for Basic Research Grant No. 12-02-31214, and by the Saint Petersburg State University grant No. 11.38.660.2013.

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Authors and Affiliations

  1. High Energy Physics Department, Saint-Petersburg State University, Ulyanovskaya ul., d. 1, 198504 , Saint-Petersburg, Petrodvoretz, Russia

    Alexey Golovnev

  2. Laboratory of Quantum Optics, Saint-Petersburg State University, Ulyanovskaya ul., d. 3, 198504 , Saint-Petersburg, Petrodvoretz, Russia

    Natalia Masalaeva

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  1. Alexey Golovnev
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  2. Natalia Masalaeva
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Correspondence to Alexey Golovnev.

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Golovnev, A., Masalaeva, N. Modified gravitational collapse, or the wonders of the MOND. Gen Relativ Gravit 46, 1754 (2014). https://doi.org/10.1007/s10714-014-1754-7

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Keywords

  • MOND
  • Modified gravity
  • Dark Matter