Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic ...

@article{30312,
   author = {Cremaschini, Claudio and Stuchlík, Zdeněk},
   article_number = {5},
   doi = {http://dx.doi.org/10.1140/epjp/i2018-12043-9},
   keywords = {covariant kinetic theory; Einstein equations; Kerr solution; collisionless N-body systems},
   language = {eng},
   issn = {2190-5444},
   journal = {European Physical Journal Plus},
   title = {Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria},
   url = {https://link.springer.com/article/10.1140%2Fepjp%2Fi2018-12043-9},
   volume = {133},
   year = {2018}
}

TY  - JOUR
ID  - 30312
AU  - Cremaschini, Claudio - Stuchlík, Zdeněk
PY  - 2018
TI  - Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria
JF  - European Physical Journal Plus
VL  - 133
IS  - 5
SP  - "203-1"-"203-13"
EP  - "203-1"-"203-13"
SN  - 21905444
KW  - covariant kinetic theory
KW  - Einstein equations
KW  - Kerr solution
KW  - collisionless N-body systems
UR  - https://link.springer.com/article/10.1140%2Fepjp%2Fi2018-12043-9
L2  - https://link.springer.com/article/10.1140%2Fepjp%2Fi2018-12043-9
N2  - A test fluid composed of relativistic collisionless neutral particles in the background of Kerr metric is expected to generate non-isotropic equilibrium configurations in which the corresponding stress-energy tensor exhibits pressure and temperature anisotropies. This arises as a consequence of the constraints placed on single-particle dynamics by Killing tensor symmetries, leading to a peculiar non-Maxwellian functional form of the kinetic distribution function describing the continuum system. Based on this outcome, in this paper the generation of Kerr-like metric by collisionless N-body systems of neutral matter orbiting in the field of a rotating black hole is reported. The result is obtained in the framework of covariant kinetic theory by solving the Einstein equations in terms of an analytical perturbative treatment whereby the gravitational field is decomposed as a prescribed background metric tensor described by the Kerr solution plus a self-field correction. The latter one is generated by the uncharged fluid at equilibrium and satisfies the linearized Einstein equations having the non-isotropic stress-energy tensor as source term. It is shown that the resulting self-metric is again of Kerr type, providing a mechanism of magnification of the background metric tensor and its qualitative features.
ER  - 

CREMASCHINI, Claudio a Zdeněk STUCHLÍK. Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria. \textit{European Physical Journal Plus}. roč.~133, č.~5, s.~''203-1''-''203-13'', 13 s. ISSN~2190-5444. doi:10.1140/epjp/i2018-12043-9. 2018.