Skip to main content
SpringerLink
Log in

A new transcendent solution of einstein-maxwell equations

  • Published:
Lettere al Nuovo Cimento (1971-1985)

Summary

One new axisymmetric stationary solution of the Einstein-Maxwell equations is obtained. It depends on a particular form of the fifth Painlevé transcendent to three parameters. In a particular case an explicit cylindrical solution can be written.

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. F. J. Ernst:Phys. Rev.,168, 1415 (1968).

    Article  ADS  Google Scholar 

  2. W. Kinnersley:J. Math. Phys. (N.Y.),18, 1529 (1977);W. Kinnersley andD. M. Chitre:J. Math. Phys. (N.Y.),18, 1538 (1977);19, 1926 (1978);C. Hoenselaers, W. Kinnersley andB. C. Xanthopoulos:J. Math. Phys. (N.T.),20, 2526, 2530 (1979).

    Article  ADS  Google Scholar 

  3. V. A. Belinski andV. B. Zahkakov:Sov. Phys. JETP,48, 985 (1978);50, 1 (1979).

    ADS  Google Scholar 

  4. P. Kaliappan andM. Lakshmanan:J. Math. Phys. (N.T.),2070, 2447 (1981);E. Fischer:J. Math. Phys. (N.T.),23, 1295 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  5. M. Halilsoy:Lett. Nuovo Cimento,37, 231 (1983).

    Article  MathSciNet  Google Scholar 

  6. B. Léauté andG. Marcilhacy:Ann. Inst. Henri Poincaré,31, 361 (1979);Phys. Lett. A,87, 159 (1982).

    Google Scholar 

  7. P. Painlevé:Acta Math.,25, 1 (1902);B. Gambier:Acta Math.,33, 1 (1909);B. E. Ince:Ordinary Differential Equations (Dover Publications, New York, N.Y., 1956), p. 317.

    Article  MathSciNet  Google Scholar 

  8. M. Gürses andB. C. Xanthopoulos:Phys. Rev. D,26, 1912 (1982).

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut Henri Poincaré, Equipe de Recherche Associée au CNRS No. 533, 11, rue Pierre et Marie Curie, 75231, Paris Cedex 05, France

    B. Léauté & G. Marcilhacy

Authors
  1. B. Léauté
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Marcilhacy
    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

Léauté, B., Marcilhacy, G. A new transcendent solution of einstein-maxwell equations. Lett. Nuovo Cimento 40, 102–106 (1984). https://doi.org/10.1007/BF02747082

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02747082

PACS

Search

Navigation