CREMASCHINI, Claudio, Jiří KOVÁŘ, Zdeněk STUCHLÍK and Massimo TESSAROTTO. Kinetic formulation of Tolman-Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times. PHYSICS OF FLUIDS. 2022, vol. 34, No 9, p. "091701-1"-"091701-6", 6 pp. ISSN 1070-6631. Available from: https://dx.doi.org/10.1063/5.0111200.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name Kinetic formulation of Tolman-Ehrenfest effect: Non-ideal fluids in Schwarzschild and Kerr space-times
Authors CREMASCHINI, Claudio (380 Italy, belonging to the institution), Jiří KOVÁŘ (203 Czech Republic, belonging to the institution), Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution) and Massimo TESSAROTTO (380 Italy, belonging to the institution).
Edition PHYSICS OF FLUIDS, 2022, 1070-6631.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/22:A0000210
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1063/5.0111200
UT WoS 000859320400003
Keywords in English Tolman-Ehrenfest effect;Schwarzschild space-time;Maxwellian kinetic equilibrium
Tags FÚ, RIV23
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 26/3/2023 17:04.
Abstract
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.
PrintDisplayed: 3/5/2024 04:05