Abstract
The time-like geodesics in the spherically symmetric vacuum solution with positive cosmological constant are investigated. The conditions necessary for the existence of bound orbits are found and the motion of particles is related to their position in the conformal diagram.
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References
Schwarzschild, K. 1916.Sitz. Preuss. Akad. Wiss., 189.
Darwin, C. (1958).Proc. Roy. Soc. (London),A249, 180.
Darwin, C. (1961).Proc. Roy. Soc. (London),A263, 39.
Gibbons, G. W., and Hawking, S. W. (1977).Phys. Rev. D,15, 2738.
Lake, K., and Roeder, R. C. (1977).Phys. Rev. D,15, 3513.
Laue, H., and Weiss, M. (1977).Phys. Rev. D,16, 3376.
Eddington, A. S. (1923).The Mathematical Theory of Relativity (Cambridge University Press, Cambridge), p. 100.
Pirani, F. A. E. (1954).Proc. Camb. Phil. Soc.,50, 673.
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Jaklitsch, M.J., Hellaby, C. & Matravers, D.R. Particle motion in the spherically symmetric vacuum solution with positive cosmological constant. Gen Relat Gravit 21, 941–951 (1989). https://doi.org/10.1007/BF00769865
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DOI: https://doi.org/10.1007/BF00769865