Skip to main content
Log in

Some static spherically symmetric interior solutions of f (R) gravity

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

Abstract

We have found some new exact static spherically symmetric interior solutions of metric f (R) gravitational theories describing the equilibrium configuration of a star. Then the solution is matched to the exterior solution and thus gives a complete description of a star in R 1-n/2 theory.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Delgaty M.S.R., Lake K.: Comput. Phys. Commun. 115, 395 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Lake K.: Phys. Rev. D 77, 127502 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  3. Kiess T.E.: Class. Quantum Grav. 26, 025011 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  4. Nojiri S, Odintsov S.D: Phys. Rep. 505, 59–144 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  5. Nojiri S., Odintsov S.D.: Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  6. Clifton, T., Ferreira, P.G., Padilla, A., Skordis, C.: arXiv: 1106.2476

  7. Sotiriou T.P.: Rev. Mod. Phys. 82, 451 (2010)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. Multamäki T., Vilja I.: Phys. Rev. D 74, 064022 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  9. Cognola G., Elizalde E., Nojiri S., Odintsov S.D., Zerbini S.: JCAP 02, 010 (2005)

    ADS  MathSciNet  Google Scholar 

  10. Bervik I., Nojiri S., Odintsov S.D., Vanzo L.: Phys. Rev. D 70, 043520 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  11. Nojiri S., Odintsov S.D., Stefancic H.: Phys. Rev. D 74, 086009 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  12. Henttunen K., Multamäki T., Vilja I.: Phys. Rev. D 77, 024040 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  13. Kainulainen K., Piilonen J., Reijonen V., Sunhede D.: Phys. Rev. D 76, 024020 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  14. Capozziello S., Stabile A., Troisi A.: Class. Quantum Grav. 25, 085004 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  15. Clifton T., Barrow J.D.: Phys. Rev. D 72, 103005 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  16. Clifton T.: Class. Quantum Grav. 23, 7445 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. Barrow J.D.: Class. Quantum Grav. 21, L79 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Abdalla M.C.B., Nojiri S., Odintsov S.D.: Class. Quantum Grav. 22, L35 (2005)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. Briscese F., Elizalde E., Nojiri S., Odintsov S.D.: Phys. Lett. B 646, 105 (2007)

    Article  ADS  Google Scholar 

  20. Frolov A.V.: Phys. Rev. Lett. 101, 061103 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  21. Kobayashi T., Maeda K.: Phys. Rev. D 78, 064019 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  22. Bamba K., Nojiri S., Odintsov S.D.: Phys. Lett. B 698, 451 (2011)

    Article  ADS  Google Scholar 

  23. Bamba K., Nojiri S., Odintsov S.D.: JCAP 10, 045 (2008)

    ADS  Google Scholar 

  24. Nojiri S., Odintsov S.D., Tsujikawa S.: Phys. Rev. D 71, 063004 (2005)

    Article  ADS  Google Scholar 

  25. Bamba, K., Odintsov, S.D., Sebastiani, L., Zerbini, S.: Euro. Phys. J. C 67, 1–2, 295–310 (2010)

  26. Nojiri S., Odintsov S.D.: Phys. Rep. 505, 59 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  27. Khoury J., Weltman A.: Phys. Rev. D 69, 044026 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  28. Khoury J., Weltman A.: Phys. Rev. Lett. 93, 171104 (2004)

    Article  ADS  Google Scholar 

  29. Hu W., Sawicki I.: Phys. Rev. D 76, 064004 (2007)

    Article  ADS  Google Scholar 

  30. Doglov A.D., Kawaski M.: Phys. Lett. B 573, 1 (2003)

    Article  ADS  Google Scholar 

  31. Sobouti Y.: A & A 464, 921 (2007)

    MATH  ADS  Google Scholar 

  32. Böhmer C.G., Harko T., Lobo F.S.N.: Astropar. Phys. 29, 386 (2008)

    Article  ADS  Google Scholar 

  33. Saffari R., Rahvar S.: Phys. Rev. D 77, 104028 (2008)

    Article  ADS  Google Scholar 

  34. Multamäki T., Vilja I.: Phys. Rev. D 76, 064021 (2007)

    Article  ADS  Google Scholar 

  35. Capozziello S., De Laurentis M., Odintsov S.D., Stabile A.: Phy. Rev. D 83, 064004 (2011)

    Article  ADS  Google Scholar 

  36. Tolman R.C.: Phys. Rev. 55, 364 (1939)

    Article  MATH  ADS  Google Scholar 

  37. Von Borzeszkowski H.H., Frolov V.P.: Ann. Phys. 492, 285 (1980)

    Article  Google Scholar 

  38. Balcerzak A., Dabrowski M.P.: Phys. Rev. D 77, 023524 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  39. Deruelle N., Sasaki M., Sendouda Y.: Prog. Theor. Phys. 119, 237 (2008)

    Article  MATH  ADS  Google Scholar 

  40. Roshan M., Shojai F.: Class. Quantum Grav. 28, 145012 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  41. Barrow J.D., Clifton T.: Class. Quantum Grav. 23, L1 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  42. Barrow J.D., Clifton T.: Class. Quantum Grav. 23, 2951 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  43. Zakharov A.f., Nucita A.A., De Paolis F., Ingrosso G.: Phy. Rev. D 74, 107101 (2006)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fatimah Shojai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shojai, A., Shojai, F. Some static spherically symmetric interior solutions of f (R) gravity. Gen Relativ Gravit 44, 211–223 (2012). https://doi.org/10.1007/s10714-011-1271-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-011-1271-x

Keywords

Navigation