Kinetic formulation of Tolman-Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F22%3AA0000210" target="_blank" >RIV/47813059:19630/22:A0000210 - isvavai.cz</a>
Result on the web
<a href="https://aip.scitation.org/doi/10.1063/5.0111200" target="_blank" >https://aip.scitation.org/doi/10.1063/5.0111200</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0111200" target="_blank" >10.1063/5.0111200</a>
Alternative languages
Result language
angličtina
Original language name
Kinetic formulation of Tolman-Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times
Original language description
A review of the original thermodynamic formulation of the Tolman-Ehrenfest effect prescribing the temperature profile of uncharged fluid at thermal equilibrium forming stationary configurations in curved space-time is proposed. A statistical description based on the relativistic kinetic theory is implemented. In this context, the Tolman-Ehrenfest relation arises in the Schwarzschild space-time for collisionless uncharged particles at Maxwellian kinetic equilibrium. However, the result changes considerably when non-ideal fluids, i.e., non-Maxwellian distributions, are treated, whose statistical temperature becomes non-isotropic and gives rise to a tensor pressure. This is associated with phase-space anisotropies in the distribution function, occurring both for diagonal and non-diagonal metric tensors, exemplified by the Schwarzschild and Kerr metrics, respectively. As a consequence, it is shown that for these systems, it is not possible to define a Tolman-Ehrenfest relation in terms of an isotropic scalar temperature. Qualitative properties of the novel solution are discussed.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICS OF FLUIDS
ISSN
1070-6631
e-ISSN
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Volume of the periodical
34
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
„091701-1“-„091701-6“
UT code for WoS article
000859320400003
EID of the result in the Scopus database
2-s2.0-85137653354