2024/09/05 by Zuzanna Bakun, Bakun, Zuzanna, Angelika Anna Łukanty +7 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High-pressure geophysics and materials #Laser-Plasma Interactions and Diagnostics #Seismic Imaging and Inversion Techniques
paper · pdf · doi:10.48550/arxiv.2409.03722
openalex publication_date 2024/09/05 · openalex created_date 2024/10/18 · openalex updated_date 2026/07/28
We revisit the theory of timelike and null geodesics in the (extended) Kerr spacetime. This work is a sequel to a recent paper by Cieślik, Hackmann, and Mach, who applied the so-called Biermann-Weierstrass formula to integrate Kerr geodesic equations expressed in Boyer-Lindquist coordinates. We show that a formulation based on the Biermann-Weierstrass theorem can also be applied in horizon-penetrating Kerr coordinates, resulting in solutions that are smooth across Kerr horizons. Horizon-penetrating Kerr coordinates allow for an explicit continuation of timelike and null geodesics between appropriate regions of the maximal analytic extension of the Kerr spacetime. A part of this work is devoted to a graphic visualisation of such geodesics.