English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse
  1. View item / 
  2. Item Summary

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Kerr-fully Diving into the Abyss: Analytic Solutions to Plunging Geodesics in Kerr

MPS-Authors
/persons/resource/persons226316

van de Meent,  Maarten
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2302.03704.pdf
(Preprint), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Dyson, C., & van de Meent, M. (2023). Kerr-fully Diving into the Abyss: Analytic Solutions to Plunging Geodesics in Kerr. Classical and Quantum Gravity, 40(19): 195026. doi:10.1088/1361-6382/acf552.


Cite as: https://hdl.handle.net/21.11116/0000-000D-D6AA-2
Abstract
We present closed-form solutions for plunging geodesics in the extended Kerr
spacetime using Boyer-Lindquist coordinates. Our solutions directly solve for
the dynamics of generic timelike plunges, we also specialise to the case of
test particles plunging from a precessing innermost stable circular orbit
(ISSO). We find these solutions in the form of elementary and Jacobi elliptic
functions parameterized 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. This extends recent work on the case of equatorial
plunges from the innermost stable circular orbit. Furthermore, we introduce a
new equation that characterizes the radial inflow from the ISSO to the horizon,
taking into account the inclination. For ease of application, our results have
been implemented in the KerrGeodesics package in the Black Hole Perturbation
Toolkit.