SpringerLink
Log in

Untangling the Newman–Janis algorithm

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

Abstract

Newman–Janis algorithm for Kerr–Newman geometry is reanalyzed in the light of Cartan calculus.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Notes

  1. It can be verified that lines \(\theta , \phi =\) const. are the straight lines generating the one-sheet hyperboloids of Eq. (2). They form a congruence of (geodesic) straight lines displaying the axial symmetry we will pursue for the gravitational field in Sect. 4.

  2. For theories harboring a non-metricity field see, for instance, Ref. [14].

References

  1. Kerr, R.P.: Phys. Rev. Lett. 11, 237–238 (1963)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. Newman, E.T., Janis, A.I.: J. Math. Phys. 6, 915–917 (1965)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. Schiffer, M., Adler, R., Mark, J., Sheffield, C.: J. Math. Phys. 14, 52–56 (1973)

    Article  ADS  MathSciNet  Google Scholar 

  4. Finkelstein, R.J.: J. Math. Phys. 16, 1271–1277 (1975)

    Article  ADS  MathSciNet  Google Scholar 

  5. Newman, E.T.: J. Math. Phys. 14, 102–103 (1973)

    Article  ADS  Google Scholar 

  6. Newman, E.T.: J. Math. Phys. 14, 774–776 (1973)

    Article  ADS  MATH  Google Scholar 

  7. Newman, E.T.: The remarkable efficacy of complex methods in general relativity. In: Iyer, B.R. et al. (eds.) Highlights in Gravitation and Cosmology, Proceedings of the International Conference on Gravitation and Cosmology (Goa, 1987). Cambridge University Press, Cambridge (1988)

  8. Herrera, L., Jiménez, J.: J. Math. Phys. 23, 2339–2345 (1982)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. Drake, S.P., Turolla, R.: Class. Quant. Grav. 14, 1883–1897 (1997)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. Drake, S.P., Szekeres, P.: Gen. Relativ. Gravit. 32, 445–457 (2000)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. Viaggiu, S.: Int. J. Mod. Phys. D 15, 1441–1453 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. Hansen, D., Yunes, N.: Phys. Rev. D. 88, 104020 (1–9) (2013)

  13. Gasperini, M.: Theory of Gravitational Interactions. Springer, Milan (2013)

    Book  MATH  Google Scholar 

  14. Obukhov, Y.N., Rubilar, G.F.: Phys. Rev. D. 73, 124017(1–14) (2006)

  15. Kerr, R.P., Schild, A.: A new class of vacuum solutions of the Einstein field equations. In: Barbèra, G. (ed.) Atti del Convegno sulla Relativita Generale: Problemi dell’Energia e Onde Gravitazionali (Fourth Centenary of Galileo’s Birth), (Firenze, 1965); republished in Gen. Relativ. Gravit. 41, 2485–2499 (2009)

  16. Debney, G.C., Kerr, R.P., Schild, A.: J. Math. Phys. 10, 1842–1854 (1969)

    Article  ADS  MathSciNet  Google Scholar 

  17. Kerr, R.P.: Discovering the Kerr and Kerr–Schild metrics. In: Wiltshire, D.L., Visser, M., Scott, S.M. (eds.) The Kerr Spacetime: Rotating Black Holes in General Relativity. Cambridge University Press, Cambridge (2009). ar**v:0706.1109

  18. Visser, M.: The Kerr spacetime—A brief introduction. In: Wiltshire, D.L., Visser, M., Scott, S.M. (eds.) The Kerr Spacetime: Rotating Black Holes in General Relativity. Cambridge University Press, Cambridge (2009). ar**v:0706.0622

Download references

Author information

Authors and Affiliations

  1. Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 , Buenos Aires, Argentina

    Rafael Ferraro

  2. Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 , Buenos Aires, Argentina

    Rafael Ferraro

Authors
  1. Rafael Ferraro
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rafael Ferraro.

Additional information

Member of Carrera del Investigador Científico (CONICET, Argentina).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ferraro, R. Untangling the Newman–Janis algorithm. Gen Relativ Gravit 46, 1705 (2014). https://doi.org/10.1007/s10714-014-1705-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10714-014-1705-3

Keywords

Search

Navigation