Vanishing condition for the heat flux of a relativistic fluid in a moving frame

10th Workshop of the Gravitation and Mathematical Physics Division, Mexican Physical Society

物理学;数学

Romero-Muñoz, Martín^1 ; Dagdug, Leonardo^1 ; Chacón-Acosta, Guillermo^2

Physics Department, Universidad Autónoma Metropolitana-Iztapalapa, San Rafael Atlixco 186, México D. F.

09340, Mexico^1

Applied Mathematics and Systems Departament, Universidad Autónoma Metropolitana-Cuajimalpa, Av. Vasco de Quiroga 4871, México D. F.

05348, Mexico^2

关键词: Energy condition;    Energy-momentum tensor;    Entropy production;    Landau-Lifshitz;    Lorentz transformations;    Moving frame;    Reference frame;    Second Law of Thermodynamics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/545/1/012012/pdf
DOI  :  10.1088/1742-6596/545/1/012012

来源: IOP

【 摘 要 】

It has been asked if is appropriate to introduce the heat flow in the energy- momentum tensor, due to the non-mechanical nature of heat [1]. Although this could be answered by both kinetic and symmetry arguments, we address the problem by checking the validity of the second law of thermodynamics in a fluid that is boosted by a Lorentz transformation to a non comoving frame. In this contribution we found that this only can happen under certain conditions. Indeed, we found that there are a family of reference frames that satisfies these conditions, where Landau-Lifshitz frame is one of those. Additionally we relate such conditions with the null energy condition and the entropy production.