Bondi-type accretion onto a Kerr black hole in the kinetic regime

Fuente: arXiv
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Autores principales: Mach, Patryk, Momennia, Mehrab, Sarbach, Olivier
Formato: Preprint
Publicado: 2025
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author Mach, Patryk
Momennia, Mehrab
Sarbach, Olivier
author_facet Mach, Patryk
Momennia, Mehrab
Sarbach, Olivier
contents We derive an exact solution representing a Bondi-type stationary accretion of a kinetic (Vlasov) gas onto the Kerr black hole. The solution is exact in the sense that relevant physical quantities, such as the particle current density or the accretion rates, are expressed as explicit integrals, which can be evaluated numerically. We provide an analytic approximation which allows us to obtain simple formulas for the mass, energy, and angular momentum accretion rates. These formulas are used to derive characteristic time scales of the black hole mass growth and the associated spin-down in two different scenarios: assuming that the ambient energy density is either constant or decreases on a cosmological scale.
format Preprint
id arxiv_https___arxiv_org_abs_2508_20189
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bondi-type accretion onto a Kerr black hole in the kinetic regime
Mach, Patryk
Momennia, Mehrab
Sarbach, Olivier
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Mathematical Physics
We derive an exact solution representing a Bondi-type stationary accretion of a kinetic (Vlasov) gas onto the Kerr black hole. The solution is exact in the sense that relevant physical quantities, such as the particle current density or the accretion rates, are expressed as explicit integrals, which can be evaluated numerically. We provide an analytic approximation which allows us to obtain simple formulas for the mass, energy, and angular momentum accretion rates. These formulas are used to derive characteristic time scales of the black hole mass growth and the associated spin-down in two different scenarios: assuming that the ambient energy density is either constant or decreases on a cosmological scale.
title Bondi-type accretion onto a Kerr black hole in the kinetic regime
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Mathematical Physics
url https://arxiv.org/abs/2508.20189