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@article{29895,
author = {Cremaschini, Claudio and Stuchlík, Zdeněk},
article_number = {2},
doi = {http://dx.doi.org/10.1142/S0218271817500018},
keywords = {relativistic kinetic theory; collosionless neutral matter; Carter constant; Killing tensors; nonisotropic equilibria},
language = {eng},
issn = {0218-2718},
journal = {International Journal of Modern Physics D},
title = {Carter constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems},
url = {https://www.worldscientific.com/doi/abs/10.1142/S0218271817500018},
volume = {26},
year = {2017}
}
TY - JOUR
ID - 29895
AU - Cremaschini, Claudio - Stuchlík, Zdeněk
PY - 2017
TI - Carter constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems
JF - International Journal of Modern Physics D
VL - 26
IS - 2
SP - „1750001-1“-„1750001-23“
EP - „1750001-1“-„1750001-23“
SN - 02182718
KW - relativistic kinetic theory
KW - collosionless neutral matter
KW - Carter constant
KW - Killing tensors
KW - nonisotropic equilibria
UR - https://www.worldscientific.com/doi/abs/10.1142/S0218271817500018
L2 - https://www.worldscientific.com/doi/abs/10.1142/S0218271817500018
N2 - A new intrinsically-relativistic kinetic mechanism for generation of nonisotropic relativistic kinetic equilibria in collisionless N-body systems is pointed out. The theory is developed in the framework of the covariant Vlasov statistical description. The new effect is based on the constraints placed by the conservation laws of neutral single-particle dynamics in prescribed background curved-spacetimes demonstrating existence of Killing tensors. As an illustration, the particular case of the Kerr spacetime admitting the so-called Carter constant for the particle geodesic motion is considered. The general functional form of the equilibrium kinetic distribution function (KDF) is determined and an explicit realization in terms of Gaussian-like distributions is provided. It is shown that, due to the Carter constant, these equilibrium KDFs exhibit an anisotropic phase-space functional dependence in terms of the single-particle 4-velocity components, giving rise to corresponding nonisotropic continuum fluid fields. The qualitative properties of the equilibrium stress-energy tensor associated with these systems are discussed, with a particular emphasis on the related occurrence of temperature anisotropy effects. The theory is susceptible of astrophysical applications, including in particular the statistical properties of dark matter (DM) halos around stellar-mass or galactic-center black holes.
ER -
CREMASCHINI, Claudio and Zdeněk STUCHLÍK. Carter constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems. \textit{International Journal of Modern Physics D}. 2017, vol.~26, No~2, p.~„1750001-1“-„1750001-23“, 23 pp. ISSN~0218-2718. Available from: https://dx.doi.org/10.1142/S0218271817500018.
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