Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects

Abstract

We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of solutions is that one can easily switch off the electric and/or anisotropic effects in this formulation. Consequently, we show that a plethora of well known stellar solutions can be identified as sub-class of our class of solutions. We demonstrate that it is possible to express our class of solutions in a simple closed form so as to examine its physical viability for the studies of relativistic compact stars.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

References

  1. Abreu, H., Hernandez, H., Nunez, L.A.: Class. Quantum Gravity 24, 4631 (2007)

    ADS  Article  Google Scholar 

  2. Bekenstein, J.D.: Phys. Rev. D 4, 2185 (1971)

    ADS  Article  Google Scholar 

  3. Bowers, R.L., Liang, E.P.T.: Astrophys. J. 188, 657 (1974)

    ADS  Article  Google Scholar 

  4. de la Cooperstock, F.I., Cruz, V.: Gen. Relativ. Gravit. 9, 835 (1977)

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

  6. Durgapal, M.C., Bannerji, R.: Phys. Rev. D 27, 328 (1983)

    ADS  MathSciNet  Article  Google Scholar 

  7. Durgapal, M.C., Fuloria, R.S.: Gen. Relativ. Gravit. 17, 671 (1985)

    ADS  Article  Google Scholar 

  8. Finch, M.R., Skea, J.E.F.: Class. Quantum Gravity 6, 467 (1989)

    ADS  Article  Google Scholar 

  9. Herera, L.: Phys. Lett. A 165, 206 (1992)

    ADS  Article  Google Scholar 

  10. Herrera, L.: Phys. Rev. D 101, 104024 (2020)

    ADS  MathSciNet  Article  Google Scholar 

  11. Herrera, L., Santos, N.O.: Phys. Rep. 286, 53 (1997)

    ADS  MathSciNet  Article  Google Scholar 

  12. Ivanov, B.V.: Phys. Rev. D 65, 104011 (2002)

    ADS  Article  Google Scholar 

  13. Karmarkar, S., Mukherjee, S., Sharma, R., Maharaj, S.D.: Pramāna J. Phys. 16, 881 (2007)

    ADS  Article  Google Scholar 

  14. Komathiraj, K., Maharaj, S.D.: Int. J. Mod. Phys. D 16, 1803 (2007a)

    ADS  Article  Google Scholar 

  15. Komathiraj, K., Maharaj, S.D.: J. Math. Phys. 48, 042501 (2007b)

    ADS  MathSciNet  Article  Google Scholar 

  16. Komathiraj, K., Maharaj, S.D.: Gen. Relativ. Gravit. 39, 2079 (2007c)

    ADS  Article  Google Scholar 

  17. Komathiraj, K., Maharaj, S.D.: Math. Comput. Appl. 15, 665 (2010)

    MathSciNet  Google Scholar 

  18. Komathiraj, K., Sharma, R.: Pramāna J. Phys. 90, 68 (2018)

    ADS  Article  Google Scholar 

  19. Komathiraj, K., Sharma, R., Das, S., Maharaj, S.D.: J. Astrophys. Astron. 40, 37 (2019)

    ADS  Article  Google Scholar 

  20. Maharaj, S.D., Komathiraj, K.: Class. Quantum Gravity 24, 4513 (2007)

    Article  Google Scholar 

  21. Maharaj, S.D., Leach, P.G.L.: J. Math. Phys. 37, 430 (1996)

    ADS  MathSciNet  Article  Google Scholar 

  22. Maharaj, S.D., Thirukkanesh, S.: Nonlinear Anal., Real World Appl. 10, 3396 (2009)

    MathSciNet  Article  Google Scholar 

  23. Maharaj, S.D., Sunzu, J.M., Ray, S.: Eur. Phys. J. Plus 129, 3 (2014)

    Article  Google Scholar 

  24. Majumdar, S.D.: Phys. Rev. D 72, 390 (1947)

    ADS  Article  Google Scholar 

  25. Mak, M.K., Harko, T.: Int. J. Mod. Phys. D 13, 149 (2004)

    ADS  Article  Google Scholar 

  26. Maurya, S.K., Maharaj, S.D.: Eur. Phys. J. C 77, 328 (2017)

    ADS  Article  Google Scholar 

  27. Nasheeha, R.N., Thirukkanesh, S., Ragel, F.C.: Eur. Phys. J. C 80, 6 (2020)

    ADS  Article  Google Scholar 

  28. Papapetrou, A.: Proc. R. Ir. Acad. 81, 191 (1947)

    Google Scholar 

  29. Ratanpal, B.S., Pandya, D.M., Sharma, R., Das, S.: Astrophys. Space Sci. 362, 82 (2017)

    ADS  Article  Google Scholar 

  30. Ruderman, R.: Annu. Rev. Astron. Astrophys. 10, 427 (1972)

    ADS  Article  Google Scholar 

  31. Sharma, R., Mukherjee, S., Maharaj, S.D.: Gen. Relativ. Gravit. 33, 999 (2001)

    ADS  Article  Google Scholar 

  32. Sharma, R., Das, S., Thirukkanesh, S.: Astrophys. Space Sci. 362, 232 (2017)

    ADS  Article  Google Scholar 

  33. Thirukkanesh, S., Maharaj, S.D.: Math. Methods Appl. Sci. 32, 684 (2009)

    ADS  MathSciNet  Article  Google Scholar 

  34. Thirukkanesh, S., Ragel, F.C., Sharma, R., Das, S.: Eur. Phys. J. C 78, 31 (2018)

    ADS  Article  Google Scholar 

  35. Thirukkanesh, S., Sharma, R., Maharaj, S.D.: Eur. Phys. J. Plus 134, 378 (2019)

    Article  Google Scholar 

  36. Tikekar, R.: J. Math. Phys. 31, 2454 (1990)

    ADS  MathSciNet  Article  Google Scholar 

  37. Vaidya, P.C., Tikekar, R.: Astrophys. Astron. 3, 325 (1982)

    ADS  Article  Google Scholar 

Download references

Acknowledgements

RS gratefully acknowledges support from the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India, under its Visiting Research Associateship Programme.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Ranjan Sharma.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Komathiraj, K., Sharma, R. Electromagnetic and anisotropic extension of a plethora of well-known solutions describing relativistic compact objects. Astrophys Space Sci 365, 181 (2020). https://doi.org/10.1007/s10509-020-03895-2

Download citation

Keywords

  • Einstein-Maxwell system
  • Exact solution
  • Relativistic star
  • Anisotropy