Skip to main content
Log in

Generalized isothermal models with strange equation of state

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

We consider the linear equation of state for matter distributions that may be applied to strange stars with quark matter. In our general approach the compact relativistic body allows for anisotropic pressures in the presence of the electromagnetic field. New exact solutions are found to the Einstein-Maxwell system. A particular case is shown to be regular at the stellar centre. In the isotropic limit we regain the general relativistic isothermal Universe. We show that the mass corresponds to the values obtained previously for quark stars when anisotropy and charge are present.

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. N Itoh, Progr. Theor. Phys. 44, 291 (1970)

    Article  ADS  Google Scholar 

  2. K S Cheng, Z G Dai and T Lu T, Int. J. Mod. Phys. D7, 139 (1998)

    ADS  Google Scholar 

  3. K S Cheng and Z G Dai, Phys. Rev. Lett. 77, 1210 (1996)

    Article  ADS  Google Scholar 

  4. A Chodos, R L Jaffe, K Johnson, C B Thorn and V F Weisskopf, Phys. Rev. D9, 3471 (1974)

    ADS  MathSciNet  Google Scholar 

  5. E Farhi and R L Jaffe, Phys. Rev. D30, 2379 (1984)

    ADS  Google Scholar 

  6. E Witten, Phys. Rev. D30, 272 (1984)

    ADS  MathSciNet  Google Scholar 

  7. I Bombaci, Phys. Rev. C55, 1587 (1997)

    ADS  Google Scholar 

  8. X-D Li, Z-G Dai and Z-R Wang, Astron. Astrophys. 303, L1 (1995)

    ADS  Google Scholar 

  9. X-D Li, I Bombaci, M Dey, J Dey and E P J van den Heuvel, Phys. Rev. Lett. 83,3776 (1999)

    Article  ADS  Google Scholar 

  10. X-D Li, S Ray, J Dey, M Dey and I Bombaci, Astrophys. J. 527, L51 (1999)

    Article  ADS  Google Scholar 

  11. M Dey, I Bombaci, J Dey, S Ray and B C Samanta, Phys. Lett. B438, 123 (1998)

    ADS  Google Scholar 

  12. R X Xu, G J Qiao and B Zhang, Astrophys. J. 522, L109 (1999)

    Article  ADS  Google Scholar 

  13. R X Xu, X B Xu and X J Wu, Chin. Phys. Lett. 18, 837 (2001)

    Article  ADS  Google Scholar 

  14. J A Pons, F M Walter, J M Lattimer, M Prakash, R Neuhäuser and A Penghui, Astrophys. J. 564, 981 (2002)

    Article  ADS  Google Scholar 

  15. V V Usov, Phys. Rev. D70, 067301 (2004)

    Google Scholar 

  16. M K Mak and T Harko, Int. J. Mod. Phys. D13, 149 (2004)

    ADS  Google Scholar 

  17. K Komathiraj and S D Maharaj, Int. J. Mod. Phys. D16, 1803 (2007)

    ADS  MathSciNet  Google Scholar 

  18. F S N Lobo, Class. Quantum Grav. 23, 1525 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. M K Mak and T Harko, Chin. J. Astron. Astrophys. 2, 248 (2002)

    Article  ADS  Google Scholar 

  20. R Sharma and S D Maharaj, Mon. Not. R. Astron. Soc. 375, 1265 (2007)

    Article  ADS  Google Scholar 

  21. M C Durgapal and R Bannerji, Phys. Rev. D27, 328 (1983)

    ADS  MathSciNet  Google Scholar 

  22. J J Matese and P G Whitman, Gen. Relativ. Gravit. 37, 1270 (1980)

    MathSciNet  Google Scholar 

  23. M R Finch and J E F Skea, Class. Quantum Grav. 6, 467 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  24. M K Mak and T Harko, Proc. R. Soc. London A459, 393 (2003)

    ADS  MathSciNet  Google Scholar 

  25. W C Saslaw, S D Maharaj and N Dadhich, Astrophys. J. 471, 571 (1996)

    Article  ADS  Google Scholar 

  26. S Chandrasekhar, Introduction to the study of stellar structure (University of Chicago Press, Chicago, 1939)

    Google Scholar 

  27. M Chaisi and S D Maharaj, Pramana — J. Phys. 66, 313 (2006)

    Article  ADS  Google Scholar 

  28. S D Maharaj and M Chaisi, Math. Meth. Appl. Sci. 29, 67 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  29. M Govender and K S Govinder, Int. J. Theor. Phys. 43, 2253 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  30. V O Thomas, B S Ratanpal and P C Vinodkumar, Int. J. Mod. Phys. D14, 85 (2005)

    ADS  Google Scholar 

  31. R Tikekar and V O Thomas, Pramana — J. Phys. 50, 95 (1998)

    Article  ADS  Google Scholar 

  32. B C Paul and R Tikekar, Grav. Cosmol. 11, 244 (2005)

    MATH  ADS  Google Scholar 

  33. K Dev and M Gleiser, Gen. Relativ. Gravit. 34, 1793 (2005)

    Article  MathSciNet  Google Scholar 

  34. M Chaisi and S D Maharaj, Gen. Relativ. Gravit. 34, 1177 (2005)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. D. Maharaj.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maharaj, S.D., Thirukkanesh, S. Generalized isothermal models with strange equation of state. Pramana - J Phys 72, 481–494 (2009). https://doi.org/10.1007/s12043-009-0043-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-009-0043-6

Keywords

PACS Nos

Navigation