Skip to main content
SpringerLink
Log in

Radiating fluid sphere immersed in an anisotropic atmosphere

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We model a radiating star undergoing dissipative gravitational collapse in the form of radial heat flux. The exterior of the collapsing star is described by the generalised Vaidya solution representing a mixture of null radiation and strings. Our model generalises previously known results of constant string density atmosphere to include inhomogeneities in the exterior spacetime. By utilising a causal heat transport equation of the Maxwell–Cattaneo form we show that relaxational effects are enhanced in the presence of inhomogeneities due to the string density.

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

Similar content being viewed by others

References

  1. Abebe, G.Z., Maharaj, S.D., Govinder, K.S.: Gen. Relativ. Gravit. 46, 1650 (2014)

    Article  ADS  Google Scholar 

  2. Abebe, G.Z., Maharaj, S.D., Govinder, K.S.: Gen. Relativ. Gravit. 46, 1733 (2014)

    Article  ADS  Google Scholar 

  3. Chan, R.: Mon. Not. R. Astron. Soc. 288, 589 (1997)

    Article  ADS  Google Scholar 

  4. Chan, R.: Astron. Astrophys. 368, 325 (2001)

    Article  ADS  Google Scholar 

  5. Dawood, A.K., Ghosh, S.G.: Phys. Rev. D 70, 104010 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  6. De Oliveira, A.K.G., Santos, N.O.: Astrophys. J. 312, 640 (1987)

    Article  ADS  Google Scholar 

  7. Glass, E.N., Krisch, J.P.: Phys. Rev. D 57, 5945 (1998)

    Article  ADS  Google Scholar 

  8. Glass, E.N., Krisch, J.P.: Class. Quantum Grav. 16, 1175 (1999)

    Article  ADS  Google Scholar 

  9. Govinder, K.S., Govender, M.: Phys. Lett. A 283, 71 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  10. Govender, M.: Int. J. Mod. Phys. D 22, 1350049 (2013)

    Article  ADS  Google Scholar 

  11. Govender, M., Reddy, K.P., Maharaj, S.D.: Int. J. Mod. Phys. D 23, 1450013 (2014)

    Article  ADS  Google Scholar 

  12. Govender, M., Bogadi, R., Sharma, R., Das, S.: Astrophys. Space Sci. 361, 33 (2016)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  14. Herrera, L., Le Denmat, G., Santos, N.O., Wang, A.: Int. J. Mod. Phys. D 13, 583 (2004)

    Article  ADS  Google Scholar 

  15. Herrera, L., Di Prisco, A., Ospino, J.: Phys. Rev. D 74, 0440001 (2006)

    Article  Google Scholar 

  16. Husain, V.: Phys. Rev. D 53, 1759 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  17. Joshi, P.S.: Global Aspects in Gravitation and Cosmology. Clarendon Press, Oxford (1993)

    MATH  Google Scholar 

  18. Joshi, P.S.: Mod. Phys. Lett. A 17, 1067 (2002)

    Article  ADS  Google Scholar 

  19. Joshi, P.S., Dadhich, N., Maartens, R.: Phys. Rev. D 65, 101501 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  20. Joshi, P.S.: Phys. Rev. D 70, 087502 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  21. Maartens, R.: Causal Thermodynamics in Relativity arXiv:astro-ph/9609119

  22. Maharaj, S.D., Govender, M.: Pramana J. Phys. 54, 715 (2000)

    Article  ADS  Google Scholar 

  23. Maharaj, S.D., Govender, M.: Int. J. Mod. Phys. D 14, 667 (2005)

    Article  ADS  Google Scholar 

  24. Maharaj, S.D., Govender, G., Govender, M.: Pramana J. Phys. 77, 469 (2011)

    Article  ADS  Google Scholar 

  25. Maharaj, S.D., Govender, G., Govender, M.: Gen. Relativ. Gravit. 44, 1089 (2012)

    Article  ADS  Google Scholar 

  26. Martinez, J.: Phys. Rev. D 53, 6921 (1996)

    Article  ADS  Google Scholar 

  27. Misthry, S.S., Maharaj, S.D., Leach, P.G.L.: Math. Methods Appl. Sci. 31, 363 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  28. Mkenyeleye, M.D., Goswami, R., Maharaj, S.D.: Phys. Rev. D 92, 024041 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  29. Naidu, N.F., Govender, M., Govinder, K.S.: Int. J. Mod. Phys. D 15, 1053 (2006)

    Article  ADS  Google Scholar 

  30. Naidu, N.F., Govender, M.: J. Astrophys. Astron. 28, 167 (2008)

    Article  ADS  Google Scholar 

  31. Oppenheimer, J.R., Snyder, H.: Phys. Rev. 56, 455 (1939)

    Article  ADS  Google Scholar 

  32. Penrose, R.: In: Hawking, S.W., Israel, W. (eds.) General Relativity, an Einstein Centenary Volume. Cambridge University Press, Cambridge (1979)

    Google Scholar 

  33. Pinheiro, G., Chan, R.: Gen. Relativ. Gravit. 45, 243 (2013)

    Article  ADS  Google Scholar 

  34. Santos, N.O.: Mon. Not. R. Astron. Soc. 216, 403 (1985)

    Article  ADS  Google Scholar 

  35. Thirukkanesh, S., Moopanar, S., Govender, M.: Pramana J. Phys. 79, 223 (2012)

    Article  ADS  Google Scholar 

  36. Vaidya, P.C.: Proc. Indian Acad. Sci. A 33, 264 (1951)

    ADS  Google Scholar 

  37. Wang, A., Wu, Y.: Gen. Relativ. Gravit. 31, 107 (1999)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The authors are grateful to the National Research Foundation (NRF) and both the Durban Institute of Technology and University of KwaZulu-Natal. SDM acknowledges that this research is supported by the South African Research Chair Initiative of the Department of Science and Technology and the NRF.

Author information

Authors and Affiliations

  1. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa

    N. F. Naidu & S. D. Maharaj

  2. Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, 4000, South Africa

    M. Govender

  3. Department of Mathematics, Eastern University, Chenkalady, Sri Lanka

    S. Thirukkanesh

Authors
  1. N. F. Naidu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Govender
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Thirukkanesh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. D. Maharaj
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to N. F. Naidu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Naidu, N.F., Govender, M., Thirukkanesh, S. et al. Radiating fluid sphere immersed in an anisotropic atmosphere. Gen Relativ Gravit 49, 95 (2017). https://doi.org/10.1007/s10714-017-2258-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10714-017-2258-z

Keywords

Search

Navigation