Skip to main content
SpringerLink
Log in

An Analysis of Charged Anisotropic Star with de Sitter Spacetime

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

Abstract

We propose a model for charged anisotropic star in de Sitter spacetime. We have taken Krori and Barua (J. Phys. A, Math. Gen. 8, 508, 1975) metric in de Sitter spacetime with non-zero cosmological constant. The model is free from singularity. We incorporate the existence of the cosmological constant on a small scale to study the structure of anisotropic charged star. To solve the Einstein-Maxwell field equations we assume the relation between the radial and transverse pressure as p t −p r =g q(r)2 r 2 (where g is a non-zero positive constant). The physical conditions inside the stellar model are also discussed.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Efinger, H.J.: Z. Phys 188, 31 (1965)

    Article  ADS  MathSciNet  Google Scholar 

  2. Bailyn, M., Eimerl, D.: Phys. Rev. D 5, 1897 (1972)

    Article  ADS  Google Scholar 

  3. Nduka, A.: Acta Phys. Pol. B, 75 (1977)

  4. Kyle, C.F., Martin, A.W.: Nuovo Cim. 50, 583 (1967)

    Article  ADS  Google Scholar 

  5. Wilson, S.J.: Can. J. Phys. 47, 2401 (1967)

    Article  ADS  Google Scholar 

  6. Kramer, D., Neugebauer, G.: Ann. Phys. (Leipzig) 482, 129 (1971)

    Article  ADS  Google Scholar 

  7. Krori, K.D., Barua, J.: J. Phys. A, Math. Gen. 8, 508 (1975)

    Article  ADS  Google Scholar 

  8. Junevicus, G.J.G.: J. Phys. A, Math. Gen. 9, 2069 (1976)

    Article  ADS  Google Scholar 

  9. Bonnor, W.B.: Mon. Not. R. Astron. Soc. 129, 443 (1965)

    Article  ADS  MathSciNet  Google Scholar 

  10. Bonnor, W.B., Wickramasuriya, S.B.P.: Mon. Not. R. Astron. Soc. 170, 643 (1975)

    Article  ADS  Google Scholar 

  11. Di Prisco, A., Herrera, L, Le Denmat, G., MacCallum, M.A.H., Santos, N.O.: Phys. Rev. D 76, 06417 (2007)

    Article  Google Scholar 

  12. Barreto, W., Rodriguez, B., Rosales, L., Serrano, O.: Gen. Relativ. Gravit. 39, 23 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  13. Varela, V., Rahaman, F., Ray, S., Chakraborty, K., Kalam, M.: Phys. Rev. D 82, 044052 (2010)

    Article  ADS  Google Scholar 

  14. Rahaman, F., Ray, S., Jafry, A.K., Chakraborty, K.: Phys. Rev. D 82, 104055 (2010)

    Article  ADS  Google Scholar 

  15. Rahaman, F., Sharma, R., Ray, S., Maulick, R., Karar, I.: Eur. Phys. J. C 72, 2071 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  17. Shvartsman, V.F.: Sov. Phys. JETP 33, 475 (1971)

    ADS  Google Scholar 

  18. Glazer, I.: Astrophys. J. 230, 899–904 (1979)

    Article  ADS  Google Scholar 

  19. Glendening, N.K.: Compact stars. Springer, Berlin (2000)

    Book  Google Scholar 

  20. Ray, S., Espindola, A.L., Malheiro, M., Lemos, J.P.S., Zanchin, V.T.: Phys. Rev. D 68, 084004 (2003)

    Article  ADS  Google Scholar 

  21. Einstein, A.: Sitzungs. Kon. Preuss. Akad. Wiss., 142 (1971)

  22. Tolman, R.C.: Phys. Rev. 55, 367 (1939)

    Article  ADS  Google Scholar 

  23. Caldwell, R.R., Kamionkowski, M.: Annu. Rev. Nucl. Part. Sci. 59, 397 (2009)

    Article  ADS  Google Scholar 

  24. Mak, M.K., Dobson Jr., P.N., Harko, T.: Mod. Phys. Lett. A 15, 2153 (2000)

    Article  ADS  Google Scholar 

  25. Dymnikova, I.: Class. Quantum Gravity 19, 725 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  26. Bohmer, C.G., Harko, T.: Phys. Lett. B 630, 73 (2005)

    Article  ADS  Google Scholar 

  27. Kalam, M., Rahaman, F., Ray, S., Hossein, S.M., Karar, I., Naskar: Eur. Phys. J. C 72, 2248 (2012)

    Article  ADS  Google Scholar 

  28. Perlmutter, S., et al.: Nature 391, 51 (1998)

    Article  ADS  Google Scholar 

  29. Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  30. Gunn, J.E., Tinsley, B.M.: Nature 257, 454 (1975)

    Article  ADS  Google Scholar 

  31. Sakharov, A.D.: Doklady Akad Nauk. SSSR 177, 70 (1967). (translated: Soviet Phys. Doklady 12)

    Google Scholar 

  32. Tiwari, R.N., Ray, S.: Gen. Relativ. Gravit 29, 683 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  33. Kalam, M., Rahaman, F., Hossein, S.M., Ray, S.: Eur. Phys. J. C 73, 2409 (2013)

    Article  ADS  Google Scholar 

  34. Herrera, L., Varela, V.: Phys. Lett. A 189, 11 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  35. Ray, S., Bhadra, S.: Phys. Lett. A 322, 150 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  36. Das, K., Ali, N.: Astrophys. Space Sci. 356, 57 (2015)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Herrera, L., Di Prisco, A., Martin, J., Ospino, J., Santos, N.O., Troconis, O.: Phys. Rev. D 69, 084026 (2004)

    Article  ADS  Google Scholar 

  39. Buchdahl, H.A.: Phys. Rev. 116, 1027 (1959)

    Article  ADS  MathSciNet  Google Scholar 

  40. Ponce de Leon, J.: Gen. Relativ. Gravit. 25, 1123 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  41. Herrera, L.: Phys. Lett. A 165, 206 (1992)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  43. Mak, M.K., Dobson, P.N., Harko, T.: Europhys. Phys. Lett. 55, 310 (2001)

    Article  ADS  Google Scholar 

  44. Andreasson, H., Bohmer, C.G., Mussa, A.: arXiv:1201.5725v2 [gr-qc] (2012)

  45. Rahaman, F., Maulick, R., Yadav, A.K., Ray, S., Sharma, R.: Gen. Relativ. Gravit. 44, 107 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

The authors are thankful to the referee for valuable comments and important and constructive suggestions to improve the manuscript. One of the authors, Nawsad Ali acknowledges the financial support of UGC, New Delhi. We are also thankful to the Department of Mathematics, Gauhati University for giving facilities for doing research.

Author information

Authors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, 781014, Assam, India

    Kanika Das & Nawsad Ali

Authors
  1. Kanika Das
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nawsad Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kanika Das.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Das, K., Ali, N. An Analysis of Charged Anisotropic Star with de Sitter Spacetime. Int J Theor Phys 55, 781–800 (2016). https://doi.org/10.1007/s10773-015-2716-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2716-x

Keywords

Search

Navigation