Skip to main content
SpringerLink
Log in

Nonstatic perfect fluid sphere in higher-dimensional space-time

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

Abstract

It is shown that in the case of a spherical nonstatic fluid distribution undergoing shear-free motion the field equations in higher dimensional space-time can be reduced to a single second-order differential equation involving an arbitrary function of the radial co-ordinate. This result extends to higher dimensions a similar one obtained by Wyman and Faulkes earlier for 4D space-time. Solving this differential equation a number of new solutions is found, and the dynamical behaviour of one of the models is briefly discussed. The ansatz is later generalised to include the electromagnetic field as well.

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

Similar content being viewed by others

References

  1. McVittie, G. C. (1967).Ann. Inst. H. Poincaré 6, 1.

    Google Scholar 

  2. Nariai, H. (1967).Prog. Theor. Phys. 38, 92.

    Google Scholar 

  3. Faulkes, M. C. (1967).Prog. Theor. Phys. 42, 1139.

    Google Scholar 

  4. Banerjee, A., and Banerji, S. (1976).Acta Phys. Pol. B7, 389.

    Google Scholar 

  5. Chakrabarty, N., and Chatterjee, S. (1978).Acta Phys. Pol. B9, 777

    Google Scholar 

  6. Wyman, M. (1964).Phys. Rev. 70, 396.

    Google Scholar 

  7. Faulkes, M. (1969).Can. J. Phys. 47, 1989.

    Google Scholar 

  8. Witten, E. (1984).Phys. Lett. B149, 351

    Google Scholar 

  9. Emelyanov, V. M., et al. (1986).Phys. Rep. 43, 1.

    Google Scholar 

  10. Myer, R. C., and Perry, M. J. (1986).Ann. Phys. (NY) 172, 304.

    Google Scholar 

  11. Chatterjee, S. (1987).Astron. Astrophys. 179, 1.

    Google Scholar 

  12. Liddle, A. R., Moorhouse, R. G., and Henriques, A. B. (1990).Class. Quant. Grav. 7, 1009.

    Google Scholar 

  13. Cahill, M. E., and McVittie, G. C. (1970).J. Math. Phys. 11, 1382.

    Google Scholar 

  14. Alvarez, E., and Gavela, M. B. (1983).Phys. Rev. Lett. 51, 931.

    Google Scholar 

  15. Hernandez, W. C., and Misner, C. W. (1966).Astrophys. J. 143, 452.

    Google Scholar 

  16. Chatterjee, S. (1984).Gen. Rel. Grav. 16, 381.

    Google Scholar 

  17. Ince, L. T. (1927).Ordinary differential equations (Longmans, London).

    Google Scholar 

Download references

Author information

Author notes

  1. S. Chatterjee

    Present address: New Alipore College, 700 053, Calcutta, India

Authors and Affiliations

  1. Relativity and Cosmology Research Centre, Department of Physics, Jadavpur University, 700 032, Calcutta, India

    A. Banerjee, S. B. Dutta Choudhury & S. Chatterjee

Authors
  1. A. Banerjee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. B. Dutta Choudhury
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Chatterjee
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Banerjee, A., Dutta Choudhury, S.B. & Chatterjee, S. Nonstatic perfect fluid sphere in higher-dimensional space-time. Gen Relat Gravit 24, 991–999 (1992). https://doi.org/10.1007/BF00759129

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00759129

Keywords

Search

Navigation