Carter constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F17%3AN0000006" target="_blank" >RIV/47813059:19240/17:N0000006 - isvavai.cz</a>

Result on the web

<a href="http://www.worldscientific.com/doi/abs/10.1142/S0218271817500018" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/S0218271817500018</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218271817500018" target="_blank" >10.1142/S0218271817500018</a>

Result language

angličtina

Original language name

Carter constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BN - Astronomy and celestial mechanics, astrophysics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Modern Physics D

ISSN

0218-2718

e-ISSN

—

Volume of the periodical

26

Issue of the periodical within the volume

2

Country of publishing house

SG - SINGAPORE

Number of pages

23

Pages from-to

'1750001-1'-'1750001-23'

UT code for WoS article

000395372200005

EID of the result in the Scopus database

2-s2.0-84978039265