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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.

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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].

References

  1. Milgrom, M.: Astrophy. J. 270, 365 (1983)

    ADS  Article  Google Scholar 

  2. Bekenstein, J., Milgrom, M.: Astrophys. J. 286, 7 (1984)

    ADS  Article  Google Scholar 

  3. Bekenstein, J.: Phys. Rev. D 70, 083509 (2004); arXiv: astro-ph/0403694

  4. Skordis, C., Mota, D.F.,. Ferreira, P.G, Bœhm, C.: Phys. Rev. Lett. 96, 011301 (2006); arXiv: astro-ph/0505519

  5. Starkman, G.D.: Philos. Trans. R. Soc. A 369, 5018 (2011); arXiv: 1201.1697

  6. Nusser, A.: Mon. Notices R. Astron. Soc. 331, 909 (2002); arXiv: astro-ph/0109016

  7. Llinares, C., Knebe, A., Zhao, H.S.: Mon. Notices R. Astron. Soc. 391, 1778 (2008); arXiv: 0809.2899

  8. Angus, G.W., Diaferio, A.: Mon. Notices R. Astron. Soc. 417, 941 (2011); arXiv: 1104.5040

  9. Famaey, B., McGaugh, S.: Living Rev. Relativ. 15, 10 (2012); arXiv: 1112.3960

  10. Tully, B.R., Fisher, J.R.: Astron. Astrophys. 54, 661 (1977)

    ADS  Google Scholar 

  11. McGaugh, S.S., Schombert, J.M., Bothun, G.D., de Blok, W.J.G.: Astrophys. J. Lett. 533, 99 (2000); arXiv: astro-ph/0003001

  12. Kroupa, P.: Publ. Astron. Soc. Aust. 29, 395 (2012); arXiv: 1204.2546

  13. Peebles, P.J.E., Nusser, A.: Nature 465, 565 (2010); arXiv: 1001.1484

  14. Kashlinsky, A., Atrio-Barandela, F., Kocevski, D., Ebeling, H.: Astrophys. J. Lett. 686, 49 (2008); arXiv: 0809.3734

  15. Menci, N., Fiore, F., Lamastra, A.: Mon. Notices R. Astron. Soc. 421, 2384 (2012); arXiv: 1201.1617

  16. Osborne, S.J., Mak, D.S.Y., Church, S.E., Pierpaoli, E.: Astrophys. J. 737, 98 (2011); arXiv: 1011.2781

  17. Planck Collaboration: arXiv: 1303.5090

  18. Nusser, A., Gubser, S.S., Peebles, P.J.E.: Phys. Rev. D 71, 083505 (2005); arXiv: astro-ph/0412586

  19. Donato, F., Gentile, G., Salucci, P., Frigerio Martins, C., Wilkinson, M.I., Gilmore, G., Grebel, E.K., Koch, A., Wyse, R.: Mon. Notices R. Astron. Soc. 397, 1169 (2009); arXiv: 0904.4054

  20. Milgrom, M.: Mon. Notices R. Astron. Soc. 403, 886 (2010); arXiv: 0911.5464

  21. Aguirre, A., Schaye, J., Quataert, E.: Astrophys. J. 561, 550 (2001); arXiv: astro-ph/0105184

  22. Clowe, D., Bradač, M., Gonzalez, A.H., Markevitch, M., Randall, S.W., Jones, Ch., Zaritsky, D.: Astrophys. J. Lett. 648, 109 (2006); arXiv: astro-ph/0608407

  23. Angus, G.W., Famaey, B., Zhao, H.S.: Mon. Notices R. Astron. Soc. 371, 138 (2006); arXiv: astro-ph/0606216

  24. Lee, J., Komatsu, E.: Astrophys. J. 718, 60 (2010); arXiv: 1003.0939

  25. Das, S., Patitsas, S.N.: Phys. Rev. D 87, 107101 (2013); arXiv: 1305.6633

  26. Dodelson, S., Liguori, M.: Phys. Rev. Lett. 97, 231301 (2006); arXiv: astro-ph/0608602

  27. Milgrom, M.: Astrophys. J. 306, 9 (1986)

    ADS  Article  Google Scholar 

  28. Dai, D., Matsuo, R., Starkman, G.: Phys. Rev. D 81, 024041 (2010); arXiv: 0811.1565

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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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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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  • DOI: https://doi.org/10.1007/s10714-014-1754-7

Keywords

  • MOND
  • Modified gravity
  • Dark Matter