Accretion of a Plasma Vlasov Gas onto a Reissner-Nordström Black Hole
Abstract
We develop a steady-state, spherically symmetric accretion model for a two-component plasma Vlasov gas in the background of a Reissner--Nordström black hole. Analytical expressions in parametric form for the critical angular momentum and impact parameter are derived for each species, leading to a rigorous partition of the absorption and scattering domains in phase space. For both monoenergetic and Jüttner distributions, electromagnetic attraction enhances, while repulsion suppresses, the particle number density, energy density, pressure and accretion rates of individual charged components relative to the neutral case. After proper normalization, the total physical quantities of the plasma (under non-extreme conditions) can be expressed exactly, or to high accuracy, as weighted averages of the two species. When the two components share identical distribution functions, accretion drives the Reissner--Nordström black hole naturally toward the Schwarzschild limit---a charge evolution that is absent in neutral-gas models. Numerical results further reveal that near the horizon the radial pressure is significantly smaller than the tangential pressure, sharply distinguishing the Vlasov gas from a perfect fluid.
Related
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- Quasinormal modes of Reissner-Nordström black hole from bound state spectrum
- Extremal Scalarization of Charged Black Holes: Miransky Scaling across Reissner-Nordström Extremality
- Zero-damped modes of near-extremal Reissner--Nordström black holes from exact WKB
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BibTeX
@misc{liu2026accretion,
title = {{Accretion of a Plasma Vlasov Gas onto a Reissner-Nordström Black Hole}},
author = {Yongqiang Liu and Hongsheng Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.25425},
eprint = {2606.25425},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.25425},
}
RIS
TY - UNPB
TI - Accretion of a Plasma Vlasov Gas onto a Reissner-Nordström Black Hole
AU - Yongqiang Liu
AU - Hongsheng Zhang
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2606.25425
UR - https://arxiv.org/abs/2606.25425
AB - We develop a steady-state, spherically symmetric accretion model for a two-component plasma Vlasov gas in the background of a Reissner--Nordström black hole. Analytical expressions in parametric form for the critical angular momentum and impact parameter are derived for each species, leading to a rigorous partition of the absorption and scattering domains in phase space. For both monoenergetic and Jüttner distributions, electromagnetic attraction enhances, while repulsion suppresses, the particle number density, energy density, pressure and accretion rates of individual charged components relative to the neutral case. After proper normalization, the total physical quantities of the plasma (under non-extreme conditions) can be expressed exactly, or to high accuracy, as weighted averages of the two species. When the two components share identical distribution functions, accretion drives the Reissner--Nordström black hole naturally toward the Schwarzschild limit---a charge evolution that is absent in neutral-gas models. Numerical results further reveal that near the horizon the radial pressure is significantly smaller than the tangential pressure, sharply distinguishing the Vlasov gas from a perfect fluid.
ER -