Kerr-fully diving into the abyss: analytic solutions to plunging geodesics in Kerr

Author:

Dyson ConorORCID,van de Meent MaartenORCID

Abstract

AbstractWe present closed-form solutions for the generic class of plunging geodesics in the extended Kerr spacetime using Boyer–Lindquist coordinates. We also specialise to the case of test particles plunging from the innermost precessing stable circular orbit (ISSO) and unstable spherical orbits. We find these solutions in the form of elementary and Jacobi elliptic functions parameterised by Mino time. In particular, we demonstrate that solutions for the ISSO case can be determined almost entirely in terms of elementary functions, depending only on the spin parameter of the black hole and the radius of the ISSO. Furthermore, we introduce a new equation that characterises the radial inflow from the ISSO to the horizon, taking into account the inclination. For ease of application, our solutions have been implemented in a Mathematica package that is available as part of theKerrGeodesicspackage in the Black Hole Perturbation Toolkit.

Funder

Villum Fonden

Danmarks Grundforskningsfond

Publisher

IOP Publishing

Subject

Physics and Astronomy (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. GENERALIZED EINSTEIN – ROSEN BRIDGE INSIDE BLACK HOLES;Журнал экспериментальной и теоретической физики;2024-12-15

2. KerrGeoPy: A Python Package for Computing Timelike Geodesics in Kerr Spacetime;Journal of Open Source Software;2024-06-01

3. Relativistic aerodynamics of spinning black holes;Physical Review D;2024-05-10

4. On Innermost Stable Spherical Orbits near a Rotating Black Hole: A Numerical Study of the Particle Motion near the Plunging Region;The Astrophysical Journal;2024-05-01

5. Inspiral and plunging orbits in Kerr-Newman spacetimes;Physical Review D;2024-04-18

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