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

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