Skip to main content
Log in

Total conserved charges of Kerr-Newman-AdS spacetime

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

A tetrad field, which reproduces the Kerr-Newman-AdS spacetime, is provided. We calculate the total conserved charges of this tetrad using the “regularization through relocalization”. This method reproduces the correct value of the total charge of the Kerr-Newman-AdS spacetime. In contrast, it is noted that the method of the covariant-conserved charge of gravitational theory does not lead to a finite value of the conserved charge.

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.

Similar content being viewed by others

References

  1. L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1980).

  2. L.B. Szabados, Class. Quantum Grav. 9, 2521 (1992).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. C. Møller, Tetrad Fields and Conservation Laws in General Relativity, in Proceedings of the International School of Physics ``Enrico Fermi'', edited by C. Møller (Academic Press, London, 1962).

  4. C. Møller, Conservation Laws in the Tetrad Theory of Gravitation, in Proceedings of the Conference on Theory of Gravitation, Warszawa and Jablonna 1962 (Gauthier-Villars, Paris, and PWN-Polish Scientific Publishers, Warszawa, 1964) NORDITA Publications No. 136.

  5. C. Pellegrini, J. Plebański, Mat. Fys. Scr. Dan. Vid. Selsk. 2, 4 (1963).

    Google Scholar 

  6. F.I. Mikhail, M.I. Wanas, E.I. Lashin, A. Hindawi, Gen. Relativ. Gravit. 26, 869 (1994).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. M.I. Wanas, N.L. Youssef, A.M. Sid-Ahmed, Class. Quantum Grav. 27, 045005 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  8. F.W. Hehl, in Proceedings of the 6th School of Cosmology and Gravitation on Spin, Torsion, Rotation and Supergravity, Erice, 1979, edited by P.G. Bergmann, V. de Sabbata (Plenum, New York, 1980).

  9. F.W. Hehl, J.D. McCrea, E.W. Mielke, Y. Néeman, Phys. Rep. 258, 1 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  10. K. Hayashi, Phys. Lett. B 69, 441 (1977).

    Article  ADS  Google Scholar 

  11. K. Hayashi, T. Shirafuji, Phys. Rev. D 19, 3524 (1979).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. K. Hayashi, T. Shirafuji, Phys. Rev. D 24, 3312 (1981).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. M. Blagojević, M. Vasilić, Class. Quantum Grav. 5, 1241 (1988).

    Article  ADS  MATH  Google Scholar 

  14. T. Kawai, Phys. Rev. D 62, 104014 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  15. T. Kawai, K. Shibata, I. Tanaka, Prog. Theor. Phys. 104, 505 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  16. Y. Itin, Class. Quantum Grav. 19, 173 (2002).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. Gamal G.L. Nashed, Eur. Phys. J. C 54, 291 (2008).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  18. Y. Itin, J. Math. Phys. 46, 012501 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  19. F.W. Hehl, Y. Néeman, J. Nitsch, P. Von der Heyde, Phys. Lett. B 78, 102 (1978).

    Article  ADS  MathSciNet  Google Scholar 

  20. F.W. Hehl, Four Lectures on Poincaré gauge theory, in Proceedings of the 6th School of Cosmology and Gravitation on Spin, Torsion, Rotation and Supergravity, Erice, 1979, edited by P.G. Bergmann, V. De Sabbata (Plenum, New York, 1980) p. 5.

  21. F. Gronwald, F.W. Hehl, On the gauge aspects of gravity, in Proceedings of the International School of Cosmology and Gravitation: 14th course: Quantum Gravity, May 1995, Erice, Italy, edited by P.G. Bergmann (World Scientific, Singapore, 1996) gr-qc/9602013.

  22. R. Aldrovandi, L.C.T. Guillen, J.G. Pereira, K.H. Vu, Bringing Together Gravity and the Quanta, in Proceedings of the Albert Einstein Century International Conference, Paris, July 18-22 (2005) gr-qc/0603122.

  23. G.G.L. Nashed, Ann. Phys. (Berlin) 523, 450 (2011).

    Article  ADS  MathSciNet  Google Scholar 

  24. R. Aldrovandi, T.G. Lucas, J.G. Pereira, arXiv:0812.0034.

  25. J.D. Brown, J.W. York, Phys. Rev. D 47, 1407 (1993).

    Article  ADS  MathSciNet  Google Scholar 

  26. J.D. Brown, J. Creighton, R.B. Mann, Phys. Rev. D 50, 6394 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  27. A. Ashtekar, A. Magnon, Class. Quantum Grav. 1, L39 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  28. A. Ashtekar, S. Das, Class. Quantum Grav. 17, L17 (2000).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  29. S. Das, R.B. Mann, JHEP 08, 033 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  30. Y. Obukhov, G.F. Rubilar, Phys. Rev. D 74, 064002 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  31. W. Kopzyński, Ann. Phys. 203, 308 (1990).

    Article  ADS  Google Scholar 

  32. A. Komar, Phys. Rev. 127, 1411 (1962).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  33. A. Komar, Phys. Rev. 113, 934 (1959) and J. Winicour, Angular Momentum in General Relativity.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  34. A. Ashtekar, Angular Momentum of Isolated Systems in General Relativity, in Cosmology and Gravitation, edited by P.G. Bergmann, V. de Sabbata (Plenum, New York, 1980).

  35. H. Suzuki, E. Takasugi, H. Umetsu, Prog. Theor. Phys. 102, 253 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  36. G.G.L. Nashed, Phys. Rev. D 66, 064015 (2002).

    Article  ADS  MathSciNet  Google Scholar 

  37. T.G. Lucas, Yuri N. Obukhov, J.G. Pereira, Phys. Rev. D 80, 064043 (2009).

    Article  ADS  Google Scholar 

  38. G.G.L. Nashed, Mod. Phys. Lett. A 22, 1047 (2007).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  39. Y. Obukhov, G.F. Rubilar, Phys. Rev. D 76, 124030 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  40. Y. Obukhov, G.F. Rubilar, Phys. Lett. B 660, 240 (2008).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  41. A.M. Awad, Class. Quantum Grav. 19, 2051 (2002).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  42. L. Huaifan, Z. Shengli, W. Yueqin, Z. Lichun, Z. Ren, Eur. Phys. J. C 63, 133 (2009).

    Article  ADS  MATH  Google Scholar 

  43. L.B. Szabados, Living Rev. Rel. 7, 4 (2004) http://www.livingreviews.org/lrr-2004-4.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gamal G. L. Nashed.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nashed, G.G.L. Total conserved charges of Kerr-Newman-AdS spacetime. Eur. Phys. J. Plus 129, 2 (2014). https://doi.org/10.1140/epjp/i2014-14002-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2014-14002-x

Keywords

Navigation