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In general relativity, the motion of a free-falling test particle in a curved spacetime is described by a timelike geodesic -the minimal path between two points in space.Intuitively, geodesics are analogous to straight line paths in flat spacetime.The timelike geodesics of Kerr spacetime are of particular interest in the field of black hole perturbation theory because they describe the zeroth-order motion of a small object moving through the background spacetime of a much more massive spinning black hole.For this reason, computing geodesics is an important step in modeling the gravitational radiation emitted by an extreme-mass-ratio inspiral (EMRI) -an astrophysical binary in which a stellar mass compact object, such as a neutron star or black hole (with mass 10 1 -10 2 M ⊙ ), spirals into a massive black hole (with mass 10 4 -10 7 M ⊙ ).
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Park et al. (2024) studied this question.
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