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Nonlinear causality of general first-order relativistic viscous hydrodynamics

Texto completo
Bemfica, Fabio S. [1] ; Disconzi, Marcelo M. [2] ; Noronha, Jorge [3, 4]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Univ Fed Rio Grande do Norte, Escola Ciencias & Tecnol, BR-59072970 Natal, RN - Brazil
[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 - USA
[3] Univ Illinois, Dept Phys, 1110 W Green St, Urbana, IL 61801 - USA
[4] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: Physical Review D; v. 100, n. 10 NOV 11 2019.
Citações Web of Science: 0

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of the energy density and flow velocity and does not include extended variables such as in Mueller-Israel-Stewart-like theories. This energy-momentum tensor leads to a causal theory, provided one abandons the usual conventions for the out-of-equilibrium hydrodynamic variables put forward by Landau-Lifshitz and Eckart. In particular, causality requires nonzero out-of-equilibrium energy density corrections and heat flow. Conditions are found to ensure linear stability around equilibrium in flat space-time. We also prove local existence and uniqueness of solutions to the equations of motion. Our causality, existence, and uniqueness results hold in the full nonlinear regime, without symmetry assumptions, in four space-time dimensions, with or without coupling to Einstein's equations, and are mathematically rigorously established. Furthermore, a kinetic theory realization of this energy-momentum tensor is also provided. (AU)

Processo FAPESP: 17/05685-2 - Física hadrônica em colisões nucleares de altas energias
Beneficiário:Jun Takahashi
Linha de fomento: Auxílio à Pesquisa - Temático