Determination of the angular momentum of the Kerr black hole from equatorial geodesic motion

Autor:	Villegas, Laura O., Ramirez-Codiz, Eduardo, Jaramillo, Víctor, Degollado, Juan Carlos, Moreno, Claudia, Núñez, Darío, Romero-Cruz, Fernando J.
Rok vydání:	2022
Předmět:	General Relativity and Quantum Cosmology Astrophysics - Astrophysics of Galaxies
Druh dokumentu:	Working Paper
DOI:	10.1088/1475-7516/2023/08/007
Popis:	We present a method to determine the angular momentum of a black hole, based on observations of the trajectories of the bodies in the Kerr space-time. We use the Hamilton equations to describe the dynamics of a particle and present results for equatorial trajectories, obtaining an algebraic equation for the magnitude of the black hole's angular momentum. We tailor a numerical code to solve the dynamical equations and use it to generate synthetic data. We apply the method in some representative examples, obtaining the parameters of the trajectories as well as the black hole's angular momentum in good agreement with the input data. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.10464 Zobrazit plný text záznamu View this record from Arxiv