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Continuum Mechanics and Thermodynamics

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01-01-2021 | Original Article

The potentials of the acceleration field and pressure field in rotating relativistic uniform system

Author: Sergey G. Fedosin

Published in: Continuum Mechanics and Thermodynamics | Issue 3/2021

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Abstract

The scalar and vector potentials of the acceleration field and the pressure field are calculated for the first time for a rotating relativistic uniform system, and the dependence of the potentials on the angular velocity is found. These potentials are compared with the potentials for the non-rotating uniform system that have been found previously. The rotation leads to the appearance of vector potentials, which at each point turn out to be directed along the corresponding linear velocity of rotation. The calculation shows that for rotating stellar objects the contribution to the fields’ vector potentials from the proper random motion of particles is small compared to the contribution from rotation and may not be taken into account. From the expression for the pressure field potential, a relativistic formula follows that relates the pressure, mass density, and mean square velocity of the particles. This formula in the limit of low speeds corresponds to the expression for the pressure in molecular kinetic theory. When calculating the potentials, a new method is used that takes into account the potentials of two different bodies, a cylinder and a sphere, for solving the wave equation of rotating system.

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Title: The potentials of the acceleration field and pressure field in rotating relativistic uniform system
Author: Sergey G. Fedosin
Publication date: 01-01-2021
Publisher: Springer Berlin Heidelberg
Published in: Continuum Mechanics and Thermodynamics / Issue 3/2021
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI: https://doi.org/10.1007/s00161-020-00960-7

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