Skip to main content
Log in

Charged Analogues of Henning Knutsen Type Solutions in General Relativity

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In the present article, we have found charged analogues of Henning Knutsen’s interior solutions which join smoothly to the Reissner–Nordstrom metric at the pressure free interface. The solutions are singularity free and analyzed numerically with respect to pressure, energy-density and charge-density in details. The solutions so obtained also present the generalization of A.L. Mehra’s solutions.

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. Adler, R.J.: J. Math. Phys. 15, 727 (1974)

    Article  ADS  Google Scholar 

  2. Bijalwan, N., Gupta, Y.K.: Astrophys. Space Sci. 317, 251 (2008)

    Article  ADS  MATH  Google Scholar 

  3. Cataldo, M., Mitskievic, N.V.: Class. Quantum Gravity 9, 545 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Dionysiou, D.D.: Astrophys. Space Sci. 85, 331 (1982)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Eddington, A.S.: The Mathematical Theory of Relativity, p. 185. Cambridge Univ. Press, London (1960)

    Google Scholar 

  6. Florides, P.S.: J. Phys. A 16, 1419 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Guilfoyle, B.S.: Gen. Relativ. Gravit. 31, 1645 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  8. Gupta, Y.K., Gupta, R.S.: Acta Phys. Pol. B 17, 855 (1986)

    Google Scholar 

  9. Gupta, Y.K., Kumar, M.: Gen. Relativ. Gravit. 37(1), 575 (2005)

    Article  ADS  MATH  Google Scholar 

  10. Gupta, Y.K., Kumar, M.: Astrophys. Space Sci. 299, 43–59 (2005)

    Article  ADS  MATH  Google Scholar 

  11. Gupta, Y.K., Kumar, M.: Gen. Relativ. Gravit. 37, 233 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Ivanov, B.V.: arXiv:gr-qc/0109010 (2001)

  13. Ivanov, B.V.: Phys. Rev. D 65, 104001 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  14. Klein, O.: Ark. Mat. Astron. Fys. A 34, N19 (1947)

    Google Scholar 

  15. Knutsen, H.: Gen. Relativ. Gravit. 22, 925 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  16. Kuchowicz, B.: Acta Phys. Pol. 33, 541 (1968)

    Google Scholar 

  17. Mehra, A.L.: Gen. Relativ. Gravit. 12, 187 (1980)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Mehra, A.L., Bohra, M.L.: Gen. Relativ. Gravit. 11, 333 (1979)

    Article  ADS  MATH  Google Scholar 

  19. Mishra, S.: Spherically and plane symmetric perfect fluid distribution of embedding class one and two. Ph.D. thesis. Dept. of Math. University of Roorkee (1981)

  20. Mukerjee, S., Paul, B.C., Dadhich, N.K.: Class. Quantum Gravity 14, 3475 (1997)

    Article  ADS  Google Scholar 

  21. Nduka, A.: Gen. Relativ. Gravit. 7, 493 (1976)

    Article  ADS  Google Scholar 

  22. Oppenheimer, J.R., Volkoff, G.M.: Phys. Rev. 55, 374 (1939)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  24. Singh, T., Yadav, R.B.S.: Acta Phys. Pol. B 9, 475 (1978)

    Google Scholar 

  25. Tikekar, R.: J. Math. Phys. 25, 1481 (1984)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  27. Tolman, R.C.: Clarendon Press, Oxford, pp. 243–264 (1962)

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

    Article  ADS  Google Scholar 

  29. Wyman, M.: Phys. Rev. 75, 1930 (1949)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. Wyman, M.: Aust. J. Phys. 31, 111 (1978)

    MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pratibha.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gupta, Y.K., Kumar, S. & Pratibha Charged Analogues of Henning Knutsen Type Solutions in General Relativity. Int J Theor Phys 50, 3337–3347 (2011). https://doi.org/10.1007/s10773-011-0837-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0837-4

Keywords

Navigation