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@article{65822,
author = {Cremaschini, Claudio and Kovář, Jiří and Stuchlík, Zdeněk and Tessarotto, Massimo},
article_number = {9},
doi = {http://dx.doi.org/10.1063/5.0111200},
keywords = {Tolman-Ehrenfest effect;Schwarzschild space-time;Maxwellian kinetic equilibrium},
language = {eng},
issn = {1070-6631},
journal = {PHYSICS OF FLUIDS},
title = {Kinetic formulation of Tolman-Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times},
url = {https://aip.scitation.org/doi/10.1063/5.0111200},
volume = {34},
year = {2022}
}
TY - JOUR
ID - 65822
AU - Cremaschini, Claudio - Kovář, Jiří - Stuchlík, Zdeněk - Tessarotto, Massimo
PY - 2022
TI - Kinetic formulation of Tolman-Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times
JF - PHYSICS OF FLUIDS
VL - 34
IS - 9
SP - "091701-1"-"091701-6"
EP - "091701-1"-"091701-6"
SN - 10706631
KW - Tolman-Ehrenfest effect;Schwarzschild space-time;Maxwellian kinetic equilibrium
UR - https://aip.scitation.org/doi/10.1063/5.0111200
N2 - 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.
ER -
CREMASCHINI, Claudio, Jiří KOVÁŘ, Zdeněk STUCHLÍK a Massimo TESSAROTTO. Kinetic formulation of Tolman-Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times. \textit{PHYSICS OF FLUIDS}. 2022, roč.~34, č.~9, s.~''091701-1''-''091701-6'', 6 s. ISSN~1070-6631. Dostupné z: https://dx.doi.org/10.1063/5.0111200.
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