Abstract
Qualitative analysis is given of the second integrals of the equations of geodesics of the Kerr metric expressed in the Boyer-Lindquist coordinates.
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References
Boyer, R. H. and Lindquist, R. W.: 1967,J. Math. Phys. 8, 265.
Carter, B.: 1968,Phys. Rev. 174, 1559.
Christodoulou, D.: 1970,Phys. Rev. Letters 25, 1596.
Christodoulou, D. and Ruffini, R.: 1971,Phys. Rev. 4, 3552.
Darwin, C.: 1958,Proc. Roy. Soc. Lond. A 249, 180.
Darwin, C.: 1961,Proc. Roy. Soc. Lond. A 263, 39.
Davis, M., Ruffini, R., Tiomno, J., and Zerilli, F.: 1972,Phys. Rev. Letters 28, 20.
De Felice, F.: 1968,Nuovo Cimento 578, 351.
De Felice, F. and Calvani, M.: 1972,Nuovo Cimento 108, 447.
Hagihara, Y.: 1931,Japan J. Astr. Geophys. 3, No. 3.
Herlt, Von E.: 1970,Ann. Phys. 7, Folge. Bd. 24, Heft 506.
Kerr, R. P.: 1963,Phys. Rev. Letters 11, 238.
Krafi, K. D.: 1970,Indian J. Phys. 44, 227.
Melnik, B. and Plebański, J.: 1962,Acta Phys. Polon. 21, 239.
Misner, C. W.: 1972,Phys. Rev. Letters 28, 994.
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.
Newman, E. T., Cauch, E., Chinapered, K., Exton, A., Prakach, A., and Torrence, R.: 1965,J. Math. Phys. 6, 918.
Penrose, R.: 1969,Rev. Nuovo Cimento 1, 252.
Ruffini, R. and Wheeler, J. A.: 1970, ‘Relativistic Cosmology and Space Platforms’, inProceedings of the Conference on Space Physics, ESPO, Paris.
Vishveshvara, C. V.: 1968,J. Math. Phys. 9, 1319.
Wilkins, D.: 1972,Phys. Rev. D 5, 814.
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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
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DOI: https://doi.org/10.1007/BF00651187