Causality and existence of solutions of relativistic viscous fluid dynamics with gravity

A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive the most general viscous energy-momentum tensor yielding eq...

ver descrição completa

Na minha lista:

Detalhes bibliográficos
Principais autores:	Bemfica, Fabio Sperotto, Disconzi, Marcelo Mendes, Noronha, Jorge
Formato:	article
Idioma:	English
Publicado em:	American Physical Society
Assuntos:	Causality Relativistic viscous Fluid dynamics Gravity
Endereço do item:	https://repositorio.ufrn.br/handle/123456789/30650
Tags:	Adicionar Tag Sem tags, seja o primeiro a adicionar uma tag!

id	ri-123456789-30650
record_format	dspace
spelling	ri-123456789-306502020-11-29T07:45:25Z Causality and existence of solutions of relativistic viscous fluid dynamics with gravity Bemfica, Fabio Sperotto Disconzi, Marcelo Mendes Noronha, Jorge Causality Relativistic viscous Fluid dynamics Gravity A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive the most general viscous energy-momentum tensor yielding equations of motion of second order in the derivatives, which is shown to provide a novel type of generalization of the relativistic Navier-Stokes equations for which causality holds. We show how this energy-momentum tensor may be derived from conformal kinetic theory. We rigorously prove local existence, uniqueness, and causality of solutions of this theory (in the full nonlinear regime) both in a Minkowski background and also when the fluid is dynamically coupled to Einstein’s equations. Linearized disturbances around equilibrium in Minkowski spacetime are stable in this causal theory. A numerical study reveals the presence of an out-of-equilibrium hydrodynamic attractor for a rapidly expanding fluid. Further properties are also studied, and a brief discussion of how this approach can be generalized to nonconformal fluids is presented 2020-11-24T15:23:20Z 2020-11-24T15:23:20Z 2018-11-30 article BEMFICA, Fábio S.; DISCONZI, Marcelo M.; NORONHA, Jorge. Causality and existence of solutions of relativistic viscous fluid dynamics with gravity. Physical Review D, [S.L.], v. 98, n. 10, p. 104064-104064, 30 nov. 2018. Disponível em: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.98.104064. Acesso em: 10 set. 2020. http://dx.doi.org/10.1103/physrevd.98.104064. 2470-0010 2470-0029 https://repositorio.ufrn.br/handle/123456789/30650 10.1103/PhysRevD.98.104064 en application/pdf American Physical Society
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	Causality Relativistic viscous Fluid dynamics Gravity
spellingShingle	Causality Relativistic viscous Fluid dynamics Gravity Bemfica, Fabio Sperotto Disconzi, Marcelo Mendes Noronha, Jorge Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
description	A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive the most general viscous energy-momentum tensor yielding equations of motion of second order in the derivatives, which is shown to provide a novel type of generalization of the relativistic Navier-Stokes equations for which causality holds. We show how this energy-momentum tensor may be derived from conformal kinetic theory. We rigorously prove local existence, uniqueness, and causality of solutions of this theory (in the full nonlinear regime) both in a Minkowski background and also when the fluid is dynamically coupled to Einstein’s equations. Linearized disturbances around equilibrium in Minkowski spacetime are stable in this causal theory. A numerical study reveals the presence of an out-of-equilibrium hydrodynamic attractor for a rapidly expanding fluid. Further properties are also studied, and a brief discussion of how this approach can be generalized to nonconformal fluids is presented
format	article
author	Bemfica, Fabio Sperotto Disconzi, Marcelo Mendes Noronha, Jorge
author_facet	Bemfica, Fabio Sperotto Disconzi, Marcelo Mendes Noronha, Jorge
author_sort	Bemfica, Fabio Sperotto
title	Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
title_short	Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
title_full	Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
title_fullStr	Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
title_full_unstemmed	Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
title_sort	causality and existence of solutions of relativistic viscous fluid dynamics with gravity
publisher	American Physical Society
publishDate	2020
url	https://repositorio.ufrn.br/handle/123456789/30650
work_keys_str_mv	AT bemficafabiosperotto causalityandexistenceofsolutionsofrelativisticviscousfluiddynamicswithgravity AT disconzimarcelomendes causalityandexistenceofsolutionsofrelativisticviscousfluiddynamicswithgravity AT noronhajorge causalityandexistenceofsolutionsofrelativisticviscousfluiddynamicswithgravity
_version_	1773960795866005504

Causality and existence of solutions of relativistic viscous fluid dynamics with gravity

Registros relacionados