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Electromagnetic and gravitational perturbations of the Kerr metric

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Il Nuovo Cimento B (1971-1996)

Summary

For the Kerr metric, we calculate all of the NP components of a test electromagnetic field and all of the NP components of the curvature tensor for gravitational perturbations, using formulae derived by Cohen and Kegeles. We express these NP components in terms of known functions. We also give a new derivation of the Teukolsky-Press identities for electromagnetism and gravitation, using the formalism of Geroch, Held and Penrose.

Riassunto

Per la metrica di Kerr si calcolano tutti i componenti di NP del campo elettromagnetico di prova e tutti i componenti di NP del tensore di curvature per perturbazioni gravitazionali, usando formule derivate da Cohen e Kageles. Si esprimono questi componenti di NP in termini di funzioni note. Si dà anche una nuova derivazione delle identità di Teukolsky e Press per l’elettromagnetismo e la gravitazione, usando il formalismo di Geroch, Held e Penrose.

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References

  1. S. A. Teukolsky:Phys. Rev. Lett.,29, 1114 (1972).

    Article  ADS  Google Scholar 

  2. S. A. Teukolsky:Astrophys. J.,185, 635 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  3. E. Newman andR. Penrose:J. Math. Phys. (N. Y.),3, 566 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  4. R. P. Kerr:Phys. Rev. Lett.,11, 237 (1963).

    Article  MathSciNet  ADS  Google Scholar 

  5. J. M. Cohen andL. S. Kegeles:Phys. Rev. D,10, 1070 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  6. A. Z. Petrov:Sci. Not. Kazan State Univ.,114, 55 (1954).

    Google Scholar 

  7. J. M. Cohen andL. S. Kegeles:Phys. Lett. A,54, 5 (1975).

    Article  ADS  Google Scholar 

  8. J. M. Cohen andM. W. Kearney:Electromagnetic identities and the Kerr metric (unpublished).

  9. R. Geroch, A. Held andR. Penrose:J. Math. Phys. (N. Y.),14, 874 (1973).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. S. Chandrasekhar:Proc. R. Soc. London Ser. A,349, 1 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  11. S. Chandrasekhar:Proc. R. Soc. London Ser. A,358, 421 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  12. S. Chandrasekhar:Proc. R. Soc. London Ser. A,358, 441 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  13. S. A. Teukolsky andW. H. Press:Astrophys. J.,193, 443 (1974).

    Article  ADS  Google Scholar 

  14. A. A. Starobinskii andS. M. Churilov:Ž. Ėks. Teor. Fiz.,65, 3 (1973) (English translation:Sov. Phys. JETP,38, 1 (1974)).

    ADS  Google Scholar 

  15. R. H. Boyer andR. W. Lindquist:J. Math. Phys. (N. Y.),8, 265 (1967).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. W. Kinnersley:J. Math. Phys. (N. Y.),10, 1195 (1969).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. The reason for this is not known, but it serves as a check on our work.

  18. P. L. Chrzanowski, R. A. Matzner, V. D. Sandberg andM. P. Ryan jr.:Phys. Rev. D,14, 317 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  19. E. D. Fackerell andR. G. Crossman:J. Math. Phys. (N. Y.),18, 1849 (1977).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. R. M. Wald:Phys. Rev. Lett.,41, 203 (1978).

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Pennsylvania, 19104, Philadelphia, Pa.

    K. R. Pechenick, M. W. Kearney & J. M. Cohen

Authors
  1. K. R. Pechenick
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  2. M. W. Kearney
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  3. J. M. Cohen
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Additional information

Supported in part by the National Science Foundation and in part by the Air Force Office of Scientific Research.

Traduzione a cura della Redazione.

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Pechenick, K.R., Kearney, M.W. & Cohen, J.M. Electromagnetic and gravitational perturbations of the Kerr metric. Nuov Cim B 64, 453–470 (1981). https://doi.org/10.1007/BF02903303

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  • DOI: https://doi.org/10.1007/BF02903303

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