Astrophysics and Space Science

, Volume 355, Issue 2, pp 343–346 | Cite as

Flat rotation curve without dark matter: the generalized Newton’s law of gravitation

Letter to the Editor
First Online:
Received:
Accepted:

Abstract

We have shown that flat rotation curve in the framework of the generalized Newton’s law of gravitation need not require dark matter. The generalized Newton’s force gives rise to logarithmic potential energy at large distances from the center of the galaxy. The effect of the gravitomagnetic force is to induce the constant velocity pattern observed in flat rotation curve at very large distances from the center of the galaxy. Dynamical matter arising from moving stars far away from the center of the galaxy is shown to provide a great part to the total mass of the galaxy.

Keywords

Dark matter Flat rotation curve Modified gravity theory Gravitomagnetism 
This is a preview of subscription content, log in to check access.

Notes

Acknowledgements

I would like to thank the Abdus Salam Center for Theoretical Physics for providing funding for this work. I would also like to thank the anonymous referees for their critical comments and suggestions.

References

  1. Arbab, A.I.: Gen. Relativ. Gravit. 36, 2465 (2004) CrossRefGoogle Scholar
  2. Arbab, A.I.: Astrophys. Space Sci. 325, 37 (2010) ADSCrossRefGoogle Scholar
  3. Arbab, A.I.: J. Mod. Phys. 3, 1231 (2012) CrossRefGoogle Scholar
  4. Bertone, G., Hooper, D., Silk, J.: Phys. Rep. 405, 279 (2005) ADSCrossRefGoogle Scholar
  5. Ehlers, J., et al.: Phys. Rev. 72, 124003 (2005) MathSciNetGoogle Scholar
  6. Fabris, J.C., Campos, J.P.: Gen. Relativ. Gravit. 41, 93 (2009) ADSCrossRefGoogle Scholar
  7. Freeman, K.C.: Astrophys. J. 160, 881 (1970) ADSGoogle Scholar
  8. Kinney, W.H., Brisudova, M.: (2000). arXiv:astro-ph/0006453
  9. Kuhn, J.R., Kruglyak, L.: Astrophys. J. 313, 1 (1987) ADSCrossRefGoogle Scholar
  10. McCulloch, M.E.: Galaxies 2, 81 (2014) ADSCrossRefGoogle Scholar
  11. Milgrom, M.: Astrophys. J. 270, 365 (1983) ADSCrossRefGoogle Scholar
  12. Peter, A.H.G.: (2012). arXiv:1201.3942 [astro-ph.CO]
  13. Trimble, V.: Annu. Rev. Astron. Astrophys. 25, 425 (1987) ADSCrossRefGoogle Scholar
  14. Zwicky, F.: Helv. Phys. Acta 6, 110 (1933) ADSGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.The Abdus Salam International Center for Theoretical PhysicsTriesteItaly
  2. 2.Department of PhysicsUniversity of KhartoumKhartoumSudan

Personalised recommendations