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1. Verfasser: Liu, Yong-qiang
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2506.08341
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author Liu, Yong-qiang
author_facet Liu, Yong-qiang
contents We investigate the kinetic properties of collisionless Vlasov gas in Kerr-Newman spacetime, analyzing how spacetime symmetries constrain the distribution functions. The distribution function is shown to depend solely on the constants of motion ($m$, $E$, $L_z$, $L$), reflecting the complete integrability of the system. Within the Locally Non-Rotating Frame, we compute particle number density, energy density, principal pressures, and accretion rates, deriving explicit asymptotic expressions for Jüttner-distributed plasma. Numerical results for the relative (normalized) mass and energy accretion rates reveal an identical parametric dependence: both are suppressed as the black hole's rotation $a$ and charge $Q$ increase. Conversely, the magnitude of the normalized angular momentum accretion rate (which is negative) increases with $a$ but decreases with $Q$. Accretion of weakly charged plasma drives charged black holes toward electrical neutrality while reducing angular momentum, ultimately favoring evolution toward Schwarzschild configurations. These findings provide new insights into kinetic accretion processes in extreme spacetime geometries.
format Preprint
id arxiv_https___arxiv_org_abs_2506_08341
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A discussion on the symmetry of relativistic Vlasov gas and its accretion in Kerr-Newman black hole
Liu, Yong-qiang
General Relativity and Quantum Cosmology
We investigate the kinetic properties of collisionless Vlasov gas in Kerr-Newman spacetime, analyzing how spacetime symmetries constrain the distribution functions. The distribution function is shown to depend solely on the constants of motion ($m$, $E$, $L_z$, $L$), reflecting the complete integrability of the system. Within the Locally Non-Rotating Frame, we compute particle number density, energy density, principal pressures, and accretion rates, deriving explicit asymptotic expressions for Jüttner-distributed plasma. Numerical results for the relative (normalized) mass and energy accretion rates reveal an identical parametric dependence: both are suppressed as the black hole's rotation $a$ and charge $Q$ increase. Conversely, the magnitude of the normalized angular momentum accretion rate (which is negative) increases with $a$ but decreases with $Q$. Accretion of weakly charged plasma drives charged black holes toward electrical neutrality while reducing angular momentum, ultimately favoring evolution toward Schwarzschild configurations. These findings provide new insights into kinetic accretion processes in extreme spacetime geometries.
title A discussion on the symmetry of relativistic Vlasov gas and its accretion in Kerr-Newman black hole
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2506.08341