Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

On the second integrals of geodesics in the Kerr field

  • 48 Accesses

  • 9 Citations

Abstract

Qualitative analysis is given of the second integrals of the equations of geodesics of the Kerr metric expressed in the Boyer-Lindquist coordinates.

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

References

  1. Boyer, R. H. and Lindquist, R. W.: 1967,J. Math. Phys. 8, 265.

  2. Carter, B.: 1968,Phys. Rev. 174, 1559.

  3. Christodoulou, D.: 1970,Phys. Rev. Letters 25, 1596.

  4. Christodoulou, D. and Ruffini, R.: 1971,Phys. Rev. 4, 3552.

  5. Darwin, C.: 1958,Proc. Roy. Soc. Lond. A 249, 180.

  6. Darwin, C.: 1961,Proc. Roy. Soc. Lond. A 263, 39.

  7. Davis, M., Ruffini, R., Tiomno, J., and Zerilli, F.: 1972,Phys. Rev. Letters 28, 20.

  8. De Felice, F.: 1968,Nuovo Cimento 578, 351.

  9. De Felice, F. and Calvani, M.: 1972,Nuovo Cimento 108, 447.

  10. Hagihara, Y.: 1931,Japan J. Astr. Geophys. 3, No. 3.

  11. Herlt, Von E.: 1970,Ann. Phys. 7, Folge. Bd. 24, Heft 506.

  12. Kerr, R. P.: 1963,Phys. Rev. Letters 11, 238.

  13. Krafi, K. D.: 1970,Indian J. Phys. 44, 227.

  14. Melnik, B. and Plebański, J.: 1962,Acta Phys. Polon. 21, 239.

  15. Misner, C. W.: 1972,Phys. Rev. Letters 28, 994.

  16. Misner, C. W., Brower, R. A., Brill, D. R., Chrzanowski, P. L., Hughes, III, M. G. and Pereira, C. M.: 1972,Phys. Rev. Letters 28, 998.

  17. Newman, E. T., Cauch, E., Chinapered, K., Exton, A., Prakach, A., and Torrence, R.: 1965,J. Math. Phys. 6, 918.

  18. Penrose, R.: 1969,Rev. Nuovo Cimento 1, 252.

  19. Ruffini, R. and Wheeler, J. A.: 1970, ‘Relativistic Cosmology and Space Platforms’, inProceedings of the Conference on Space Physics, ESPO, Paris.

  20. Vishveshvara, C. V.: 1968,J. Math. Phys. 9, 1319.

  21. Wilkins, D.: 1972,Phys. Rev. D 5, 814.

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Krivenko, O.P., Pyragas, K.A. & Zhuk, I.T. On the second integrals of geodesics in the Kerr field. Astrophys Space Sci 40, 39–61 (1976). https://doi.org/10.1007/BF00651187

Download citation

Keywords

  • Qualitative Analysis
  • Kerr Field