International Journal of Theoretical Physics

, Volume 45, Issue 3, pp 483–498 | Cite as

Generalized Lane–Emden Equation and the Structure of Galactic Dark Matter

Article

Abstract

Starting from the collisionless Boltzmann equation and the Plummer's distribution function, the Lane–Emden (LE) equation is derived and applied to the problem of galactic dark halos. Some generalizations of the LE equation are considered and their implications for the structure of dark halos are investigated. The relevance of a relativistic scalar field to the problem under investigation is also discussed.

Keywords

Lane–Emden equation galactic rotation curves dark halos 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Alcock, C., et al. (1995). Physical Review Letters 74, 2867.CrossRefPubMedADSGoogle Scholar
  2. Binney, J. and Tremaine, S. (1987). Galactic Dynamics, Princeton Series in Astrophysics.Google Scholar
  3. Breitenlohner, P., Forgacs, P., and Maison, D. (1994). gr-qc/9412039v2.Google Scholar
  4. Derrick, G. (1965). Journal of Mathematical Physics 5, 1252.CrossRefADSMathSciNetGoogle Scholar
  5. Dubinski, J. and Carlberg, R. G. (1991). Astrophysics Journal 378, 496.CrossRefADSGoogle Scholar
  6. Guidry, M. (1991). Gauge Field Theories, Wiley, New York.Google Scholar
  7. Hernquist, L. (1990). Astrophysics Journal 356, 359.CrossRefADSGoogle Scholar
  8. King, I. R. (1966). Astronomy Journal 71, 64.CrossRefADSGoogle Scholar
  9. King, I. R. (1963). Astronomy Journal 68, 283.ADSGoogle Scholar
  10. Kormendy, J. and Richstone, D. (1995). Annals of the Review of Astronomy and Astrophysics 33, 581.ADSGoogle Scholar
  11. Kulessa, A. S. and Lynden-Bell, D. (1992). Monthly Notices of the Royal Astronomical Society 255, 105.ADSGoogle Scholar
  12. Michie, R. W. (1963). Monthly Notices of the Royal Astronomical Society 126, 499.ADSMathSciNetGoogle Scholar
  13. Milke, E. W. and Schunck, F. E. (2002). Physical Review D66, 023503.ADSGoogle Scholar
  14. Persic, M., Salucci, P., and Stel, F. (1999) stro-ph/9506004 v3.Google Scholar
  15. Plummer, H. C. (1911). Monthly Notices of the Royal Astronomical Society 71, 701.ADSGoogle Scholar
  16. Schunck, F. E. (1998), astro-ph/9802258v1.Google Scholar
  17. Smith, R. (1995). Observational Astrophysics, Cambridge University Press, Cambridge.Google Scholar
  18. Trimble, V. (1987). Annals of Review of Astronomy and Astrophysics 187, 425.CrossRefADSGoogle Scholar
  19. Wald, R. M. (1984). General Relativity, The University of Chicago Press, Chicago.MATHGoogle Scholar
  20. Zaritzky, D., Smith, R., Frenk, C. S., and White, S. D. M. (1993). Astrophysics Journal 405, 464.CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Biruni Observatory, Physics Department, College of ScienceShiraz UniversityShirazIran
  2. 2.Physics Department, College of SciencesShiraz UniversityShirazIran
  3. 3.Biruni Observatory, Physics Department, College of ScienceShiraz UniversityShirazIran

Personalised recommendations