Skip to main content
SpringerLink
Log in

Dynamical analysis of charged anisotropic spherical star in f(R) gravity

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

We consider a modified gravity theory, \(f(R) = R + \alpha R^n - \tfrac{{\mu ^4 }} {{R^m }}\), in the metric formulation and analyze the contribution of the electromagnetic field on the range of dynamical instability of a star filled with anisotropic matter. The collapse equation is developed by applying conservation on anisotropic matter, Maxwell source and dark source terms arising due to f(R) gravity. A specific perturbation scheme is implemented and it is observed that the inclusion of Maxwell source slows down the collapse and makes the system more stable in Newtonian regime. Also, we make a comparison of our results with the existing literature.

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. P.S. Joshi, D. Malafarina, Int. J. Mod. Phys. D 20, 2641 (2011).

    Article  ADS  MathSciNet  Google Scholar 

  2. C. Hansen, S. Kawaler, Stellar Interiors: Physical Principles, Structure and Evolution (Springer Verlag, 1994).

  3. R. Kippenhahn, A. Weigert, Stellar Structure and Evolution (Springer Verlag, 1990).

  4. M. Schwarzschild, Structure and Evolution of the Stars (Dover, 1958).

  5. S. Chandrasekhar, Astrophys. J. 140, 417 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  6. W. Hillebrandt, K.O. Steinmetz, Astron. Astrophys. 2, 53 (1976).

    Google Scholar 

  7. R. Chan et al., Mon. Not. R. Astron. Soc. 239, 91 (1989).

    Article  ADS  Google Scholar 

  8. R. Chan, L. Herrera, N.O. Santos, Mon. Not. R. Astron. Soc. 265, 533 (1993).

    Article  ADS  Google Scholar 

  9. R. Chan, L. Herrera, N.O. Santos, Mon. Not. R. Astron. Soc. 267, 637 (1994).

    Article  ADS  Google Scholar 

  10. R. Chan et al., Mon. Not. R. Astron. Soc. 316, 588 (2000).

    Article  ADS  Google Scholar 

  11. L. Herrera, N. Santos, Mon. Not. R. Astron. Soc. 343, 1207 (2003).

    Article  ADS  Google Scholar 

  12. L. Herrera, N.O. Santos, G. Le Denmat, Mon. Not. R. Astron. Soc. 237, 257 (1989).

    Article  ADS  Google Scholar 

  13. L. Herrera, N.O. Santos, G. Le Denmat, Gen. Relativ. Gravit. 44, 1143 (2012).

    Article  ADS  Google Scholar 

  14. L. Herrera, N.O. Santos, Phys. Rev. D 70, 084004 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  15. T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  16. S. Capozziello, V. Faraoni, Beyond Einstein Gravity (Springer, New York, 2011).

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

    Article  ADS  MathSciNet  Google Scholar 

  18. M. Sharif, H.R. Kausar, J. Phys. Soc. Jpn. 80, 044004 (2011).

    Article  ADS  Google Scholar 

  19. M. Sharif, H.R. Kausar, Mod. Phys. Lett. A 25, 3299 (2010).

    Article  ADS  Google Scholar 

  20. M. Sharif, H.R. Kausar, Int. J. Mod. Phys. D 20, 2239 (2011).

    Article  ADS  MathSciNet  Google Scholar 

  21. M. Sharif, H.R. Kausar, J. Astrophys. Space Sci. 337, 805 (2012).

    Article  ADS  Google Scholar 

  22. M. Sharif, H.R. Kausar, J. Astrophys. Space Sci. 331, 281 (2011).

    Article  ADS  Google Scholar 

  23. M. Sharif, H.R. Kausar, J. Phys. Conf. Ser. 354, 012020 (2012).

    Article  ADS  Google Scholar 

  24. M. Sharif, H.R. Kausar, JCAP 07, 022 (2011).

    Article  ADS  Google Scholar 

  25. H.R. Kausar, JCAP 01, 007 (2013).

    Article  MathSciNet  Google Scholar 

  26. I. Noureen, M. Zubair, Astrophys. Space Sci. 355, 2202 (2014).

    Google Scholar 

  27. I. Noureen, M. Zubair, Eur. Phys. J. C 75, 62 (2015).

    Article  ADS  Google Scholar 

  28. M. Zubair, I. Noureen, Eur. Phys. J. C 75, 265 (2015).

    Article  ADS  Google Scholar 

  29. I. Noureen, A.A. Bhatti, M. Zubair, JCAP 02, 033 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  30. I. Noureen, M. Zubair, A.A. Bhatti, G. Abbas, Eur. Phys. J. C 75, 323 (2015).

    Article  ADS  Google Scholar 

  31. S.M. Carroll et al., New J. Phys. 8, 323 (2006).

    Article  ADS  Google Scholar 

  32. R. Bean et al., Phys. Rev. D 75, 064020 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  33. F. Schmidt, Phys. Rev. D 78, 043002 (2008).

    Article  ADS  Google Scholar 

  34. Y.S. Song, W. Hu, I. Sawicki, Phys. Rev. D 75, 044004 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  35. A.P. Kouretsis, C.G. Tsagas, Phys. Rev. D 82, 124053 (2010).

    Article  ADS  Google Scholar 

  36. M. Sharif, M. Azam, JCAP 2, 043 (2012).

    Article  ADS  Google Scholar 

  37. M. Sharif, Z. Yousaf, Mon. Not. R. Astron. Soc. 434, 2529 (2013).

    Article  ADS  Google Scholar 

  38. M. Sharif, Z. Yousaf, Phys. Rev. D 88, 024020 (2013).

    Article  ADS  Google Scholar 

  39. H.R. Kausar, I. Noureen, Eur. Phys. J. C 74, 2760 (2014).

    Article  ADS  Google Scholar 

  40. M. Sharif, M. Azam, Gen. Relativ. Gravit. 44, 1181 (2012).

    Article  ADS  MathSciNet  Google Scholar 

  41. G. Darmois, Memorial des Sciences Mathematiques (Gautheir-Villars, 1927) Fasc. 25.

  42. W. Israel, Nuovo Cimento B 44, 1 (1966).

    Article  ADS  Google Scholar 

  43. W. Israel, Nuovo Cimento B 48, 463 (1967) (Erratum).

    Article  ADS  Google Scholar 

  44. C.W. Misner, D. Sharp, Phys. Rev. B 136, 571 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  45. S. Capozziello et al., Phys. Rev. D 85, 044022 (2012).

    Article  ADS  MathSciNet  Google Scholar 

  46. S. Capozziello, M. De Laurentis, M. Francaviglia, Astropart. Phys. 29, 125 (2008).

    Article  ADS  Google Scholar 

  47. M. De Laurentis, S. Capozziello, Astropart. Phys. 35, 257 (2011).

    Article  ADS  Google Scholar 

  48. H.R. Kausar, Mon. Not. R. Astron. Soc. 439, 1536 (2014).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CAMS, UCP Business School, University of Central Punjab, Lahore, Pakistan

    H. Rizwana Kausar & M. Umair Shahzad

  2. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

    Ifra Noureen

Authors
  1. H. Rizwana Kausar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ifra Noureen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Umair Shahzad
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. Rizwana Kausar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rizwana Kausar, H., Noureen, I. & Shahzad, M. Dynamical analysis of charged anisotropic spherical star in f(R) gravity. Eur. Phys. J. Plus 130, 204 (2015). https://doi.org/10.1140/epjp/i2015-15204-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2015-15204-4

Keywords

Search

Navigation