Abstract
Criteria for the existence and stability of circular orbits in a general stationary axisymmetric field are established using the equation of geodesic deviation. Circular orbits in the ReissnerNordström, Schwarzschild and Kerr fields, all with a positive cosmological constant “Λ” included, are considered and the effects of “Λ” are detailed.
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References
Chandra, R. (1977).Gen. Rel. Grav.,8, 787.
Laue, H., and Weiss, M. (1977).Phys. Rev. D,16, 3376.
McCrea, W. (1971).Quart. J. Astron. Soc.,12, 140.
Lake, K., and Roeder, R. C. (1977).Phys. Rev. D,15, 3513.
Gunn, J., and Tinsley, B. (1975).Nature,257, 454.
Shirokov, M. (1973).Gen. Rel. Grav.,4, 131.
Armenti, A., Jr., (1975).Nuovo Cimento,25B, 442.
Howes, R. (1979).Aust. J. Phys.,32, 293.
Darwin, C. (1959).Proc. R. Soc. London,249, 180.
Demianski, M. (1973).Acta Astron.,23, 197.
Bardeen, J. (1972).Astrophys. J.,178, 347.
Petrosian, V. (1974).Intern. Astron. Union. Symp., No. 63, 1974. pp. 31–46 (Reidel, Dordrecht, Netherlands).
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Howes, R.J. Effects of a positive cosmological constant on circular orbits in the reissner-nordström, schwarzschild, and kerr fields. Gen Relat Gravit 13, 829–835 (1981). https://doi.org/10.1007/BF00764269
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DOI: https://doi.org/10.1007/BF00764269