CREMASCHINI, Claudio and Zdeněk STUCHLÍK. Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria. European Physical Journal Plus. 2018, vol. 133, No 5, p. "203-1"-"203-13", 13 pp. ISSN 2190-5444. Available from: https://dx.doi.org/10.1140/epjp/i2018-12043-9.
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Basic information
Original name Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria
Authors CREMASCHINI, Claudio (380 Italy, guarantor, belonging to the institution) and Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution).
Edition European Physical Journal Plus, 2018, 2190-5444.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19240/18:A0000263
Organization unit Faculty of Philosophy and Science in Opava
Doi http://dx.doi.org/10.1140/epjp/i2018-12043-9
UT WoS 000434466200001
Keywords in English covariant kinetic theory; Einstein equations; Kerr solution; collisionless N-body systems
Tags International impact, Reviewed
Links GB14-37086G, research and development project.
Changed by Changed by: RNDr. Jan Hladík, Ph.D., učo 25379. Changed: 4/4/2019 12:53.
Abstract
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.
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