Skip to main content
Log in

Exact solutions of the Einstein-Maxwell equations with closed timelike curves

General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We examine two electrovac spacetimes, the Kerr-Newman solution and another due to Perjes, which represent single charged, rotating, magnetic objects. Both contain regions with closed timelike curves (CTC), but these regions would be covered by the sources in any physical realisation of the spacetimes, so the CTC would not be detectable. We then study a stationary solution referring to two charged, rotating, magnetic objects. In general there is a region of CTC between the objects no matter how far apart they are. In this case the region would not be covered by the sources, and CTC would be detectable in principle.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bičák, J., Pravda, V.: Phys. Rev. D 60, 044004 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  2. Pravda, V., Pravdová, A.: Preprint gr-qc/0201025 (2002)

  3. Bonnor, W.B.: Class. Quantum Grav. 19, 5951 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Bonnor W.B., Steadman, B.R.: Class. Quantum Grav. 21, 2723 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. Bonnor, W.B., Ward, J.P.: Commun. Math. Phys. 28, 323 (1972)

    Article  ADS  MathSciNet  Google Scholar 

  6. Perjes, Z.: Phys. Rev. Lett. 27, 1668 (1971)

    Article  ADS  Google Scholar 

  7. Israel, W., Wilson, G.A.: J. Math. Phys. 13, 865 (1972)

    Article  ADS  Google Scholar 

  8. Papapetrou, A.: Proc. Roy. Irish Acad. 51, 191 (1947)

    MathSciNet  Google Scholar 

  9. Majumdar, S.D.: Phys. Rev. 72, 390 (1947)

    Article  ADS  Google Scholar 

  10. Katz, J., Bičák, J., Lynden-Bell, D.: Class. Quantum Grav. 16, 4023 (1999)

    Article  MATH  ADS  Google Scholar 

  11. Bonnor, W.B.: Class. Quantum Grav. 19, 149 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Cooperstock, F.I., Tieu, S.: Preprint gr-qc/0405114 (2004)

  13. Van den Bergh, N., Wils, P.: Class. Quantum Grav. 2, 229 (1985)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. Synge, J.L.: Relativity: the General Theory (Amsterdam: North-Holland) page 309 (1960)

    MATH  Google Scholar 

  15. Bonnor, W.B.: Class. Quantum Grav. 18, 1381 (2001)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. Bonnor, W.B.: Class. Quantum Grav. 18, 2853 (2001)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation (San Fransisco: Freeman) p 878 (1973)

    Google Scholar 

  18. Glendenning, N.K.: Compact Stars (New York: Springer) p 71 (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to W. B. Bonnor.

Additional information

This paper is dedicated to the memory of Zoltan Perjes.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bonnor, W.B., Steadman, B.R. Exact solutions of the Einstein-Maxwell equations with closed timelike curves. Gen Relativ Gravit 37, 1833–1844 (2005). https://doi.org/10.1007/s10714-005-0163-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-005-0163-3

Keywords

Navigation