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We provide analytical closed form solutions for the parallel transport along a bound geodesic in Kerr spacetime.
Vojtěch Witzany, “Spin-perturbed orbits near black holes,” (2019a), arXiv:1903.03649 [gr-qc]
1903
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Brandon Carter, “Global structure of the Kerr family of gravitational fields,” Phys. Rev. 174
1968
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J. a. Marck, “Solution to the equations of parallel transport in kerr geometry; tidal tensor,” Proc. R. Soc. Lond. A 385
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Wolfram Schmidt, “Celestial mechanics in Kerr space-time,” Classical Quant. Grav. 19
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Yasushi Mino, “Perturbative approach to an orbital evolution around a supermassive black hole,” Phys. Rev. D 67
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G. V. Kraniotis, “Precise relativistic orbits in Kerr space-time with a cosmological constant,” Classical Quant. Grav. 21
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Eva Hackmann, Geodesic equations in black hole space-times with cosmological constant , Ph.D. thesis , Bremen U. (2010)
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Maarten van de Meent and Niels Warburton, “Fast Self-forced Inspirals,” Classical Quant. Grav. 35
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