# Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime

@article{Meent2019AnalyticSF, title={Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime}, author={M. Meent}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2019} }

We provide analytical closed form solutions for the parallel transport along a bound geodesic in Kerr spacetime. This can be considered the lowest order approximation for the motion a spinning black hole in an extreme mass-ratio inspiral. As an illustration of the usefulness of our new found expressions we scope out the locations of spin-spin resonances in quasi-circular EMRIs. All solutions are given as functions of Mino time, which facilitates the decoupling of the equations of motion. To… CONTINUE READING

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