Causality and thermodynamics in anisotropic fluids

Fuente: arXiv
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Main Authors: Polanco, José Díaz, Ayala, José, Viza, Luis
Format: Preprint
Published: 2025
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author Polanco, José Díaz
Ayala, José
Viza, Luis
author_facet Polanco, José Díaz
Ayala, José
Viza, Luis
contents We propose a thermodynamic formalism, within the particle-frame, for the energy-momentum tensor of irreversible anisotropic imperfect fluids subject to causality. Building on the Israel-Stewart extension of Eckart's theory, we further generalize these formalisms to incorporate anisotropic effects while ensuring the preservation of causality. In this framework, the second law of thermodynamics includes an additional term accounting for the system's anisotropy, which we derive explicitly in closed form for both first- and second-order theories. Notably, when anisotropy is removed, our model recovers Eckart's theory at first order and Israel-Stewart's at second order.
format Preprint
id arxiv_https___arxiv_org_abs_2506_04599
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Causality and thermodynamics in anisotropic fluids
Polanco, José Díaz
Ayala, José
Viza, Luis
General Relativity and Quantum Cosmology
We propose a thermodynamic formalism, within the particle-frame, for the energy-momentum tensor of irreversible anisotropic imperfect fluids subject to causality. Building on the Israel-Stewart extension of Eckart's theory, we further generalize these formalisms to incorporate anisotropic effects while ensuring the preservation of causality. In this framework, the second law of thermodynamics includes an additional term accounting for the system's anisotropy, which we derive explicitly in closed form for both first- and second-order theories. Notably, when anisotropy is removed, our model recovers Eckart's theory at first order and Israel-Stewart's at second order.
title Causality and thermodynamics in anisotropic fluids
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2506.04599