Relaxation-time model for the post-Newtonian Boltzmann equation

Autor:	Gilberto Medeiros Kremer
Rok vydání:	2023
Předmět:	FOS: Physical sciences General Physics and Astronomy General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology
Zdroj:	Annals of Physics. 452:169284
ISSN:	0003-4916
DOI:	10.1016/j.aop.2023.169284
Popis:	The non-equilibrium contributions to the post-Newtonian hydrodynamic equations are determined from a relaxation-time model of the post-Newtonian Boltzmann equation. The Chapman-Enskog method is used to calculate the non-equilibrium distribution function. The components of the energy-momentum tensor are found from the knowledge of the non-equilibrium and the post-Newtonian equilibrium Maxwell-J\"uttner distribution functions. The linearized field equations for the mass, momentum and internal energy densities coupled with the three Poisson equations of the post-Newtonian approximation are investigated by considering a plane wave representation of the fields. The constitutive equations for the viscous stress and heat flux vector are obtained and it is shown that the transport coefficients of shear viscosity and heat conductivity do depend on the Newtonian gravitational potential. Comment: 10 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1733989343003d2f452b3ee0305e978d https://doi.org/10.1016/j.aop.2023.169284 Zobrazit plný text záznamu Full Text from ScienceDirect