Skip to main content
SpringerLink
Log in

Lensing in an interior Kottler solution

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We derive the interior Kottler solution of the incompressible fluid and show that the bending of light in this solution does depend on the cosmological constant.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Rindler W., Ishak M.: The contribution of the cosmological constant to the relativistic bending of light revisited. Phys. Rev. D 76, 043006 (2007) arXiv:0709.2948 [astro-ph]

    Article  ADS  Google Scholar 

  2. Sereno M.: On the influence of the cosmological constant on gravitational lensing in small systems. Phys. Rev. D 77, 043004 (2008) arXiv:0711.1802 [astro-ph]

    Article  MathSciNet  ADS  Google Scholar 

  3. Schücker T.: Cosmological constant and lensing. Gen. Relativ. Gravit. 41, 67 (2009) arXiv:0712.1559 [astro-ph]

    Article  MATH  ADS  Google Scholar 

  4. Schücker T.: Strong lensing in the Einstein–Straus solution. Gen. Relativ. Gravit. 41, 1595 (2009). arXiv:0807.0380 [astro-ph]

    Article  MATH  ADS  Google Scholar 

  5. Sereno M.: The role of Lambda in the cosmological lens equation. Phys. Rev. Lett. 102, 021301 (2009). arXiv:0807.5123 [astro-ph]

    Article  MathSciNet  ADS  Google Scholar 

  6. Miraghaei, H., Nouri-Zonoz, M.: Classical tests of general relativity in the Newtonian limit of Schwarzschild–de Sitter spacetime. arXiv:0810.2006 [gr-qc]

  7. Khriplovich I.B., Pomeransky A.A.: Does cosmological term influence gravitational lensing?. Int. J. Mod. Phys. D 17, 2255 (2008) arXiv:0801.1764 [gr-qc]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Park M.: Rigorous approach to the gravitational lensing. Phys. Rev. D 78, 023014 (2008) arXiv: 0804.4331 [astro-ph]

    Article  MathSciNet  ADS  Google Scholar 

  9. Simpson, F., Peacock, J.A., Heavens, A.F.: On lensing by a cosmological constant. arXiv:0809.1819 [astro-ph]

  10. Ishak, M., Rindler, W., Dossett, J.: More on lensing by a cosmological constant. arXiv:0810.4956 [astro-ph]

  11. Ishak M., Rindler W., Dossett J., Moldenhauer J., Allison C.: A new independent limit on the cosmological constant/dark energy from the relativistic bending of light by galaxies and clusters of galaxies. Mon. Not. R. Astron. Soc. 388, 1279 (2008) arXiv:0710.4726 [astro-ph]

    ADS  Google Scholar 

  12. Stuchlík Z.: Spherically symmetric static configurations of uniform density in spacetimes with a non-zero cosmological constant. Acta Phys. Slov. 50, 219 (2000) arXiv:0803.2530 [gr-qc]

    Google Scholar 

  13. Boehmer C.G.: Eleven spherically symmetric constant density solutions with cosmological constant. Gen. Relativ. Gravit. 36, 1039 (2004) arXiv:gr-qc/0312027

    Article  MATH  ADS  Google Scholar 

  14. Gibbons G.W., Warnick C.M., Werner M.C.: Light-bending in Schwarzschild–de-Sitter: projective geometry of the optical metric. Class. Quant. Grav. 25, 245009 (2008) arXiv:0808.3074 [gr-qc]

    Article  MathSciNet  ADS  Google Scholar 

  15. Sereno M.: The role of Lambda in the cosmological lens equation. Phys. Rev. Lett. 102, 021301 (2009) arXiv:0807.5123 [astro-ph]

    Article  MathSciNet  ADS  Google Scholar 

  16. Navarro J.F., Frenk C.S., White S.D.M.: A universal density profile from hierarchical clustering. Astrophys. J. 490, 493 (1997) arXiv:astro-ph/9611107

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Université de Provence, Marseille, France

    Thomas Schücker

  2. Centre de Physique Théorique, CNRS-Luminy, Case 907, 13288, Marseille Cedex 9, France

    Thomas Schücker

  3. Unité Mixte de Recherche (UMR 6207) du CNRS et des, Universités Aix–Marseille 1 et 2 et Sud Toulon-Var, Laboratoire affilié à la FRUMAM (FR 2291), Marseille, France

    Thomas Schücker

Authors
  1. Thomas Schücker
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Thomas Schücker.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schücker, T. Lensing in an interior Kottler solution. Gen Relativ Gravit 42, 1991–1995 (2010). https://doi.org/10.1007/s10714-010-0978-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-010-0978-4

Keywords

Search

Navigation