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Related papers: Causality of the Einstein-Israel-Stewart Theory wi…

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We present the first set of fully-nonlinear, necessary and sufficient conditions guaranteeing causal evolution of the initial data for the Israel-Stewart hydrodynamic equations with shear and bulk viscosity coupled to a nonzero baryon…

Nuclear Theory · Physics 2025-10-03 Ian Cordeiro , Fábio S. Bemfica , Enrico Speranza , Jorge Noronha

We present a class of relativistic fluid models for cold and dense matter with bulk viscosity, whose equilibrium equation of state is polytropic. These models reduce to Israel-Stewart theory for small values of the viscous stress $\Pi$.…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Lorenzo Gavassino

We investigate the realization of non-singular bouncing cosmologies driven by causal bulk-viscous fluids within General Relativity, $f(R)$ gravity, and Loop Quantum Cosmology. Building on the no-go result of Eckart theory in spatially flat…

General Relativity and Quantum Cosmology · Physics 2026-02-05 L. Yildiz , D. Kayki , E. Gudekli

The approach of extended irreversible thermodynamics consists of promoting the dissipative fluxes to non-equilibrium thermodynamic variables. In a relativistic context, this naturally leads to the formulation of the theory of Israel and…

General Relativity and Quantum Cosmology · Physics 2021-04-23 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to ensure causality, local existence, and uniqueness of solutions…

High Energy Physics - Theory · Physics 2021-06-09 Fabio S. Bemfica , Marcelo M. Disconzi , Vu Hoang , Jorge Noronha , Maria Radosz

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…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

Exact correspondence between Israel-Stewart theory and first-order causal and stable hydrodynamics is established for the boost-invariant massive case with zero baryon density and the same constant relaxation times used in the shear and…

Nuclear Theory · Physics 2020-08-19 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

We test the physical relevance of the full and the truncated versions of the Israel-Stewart theory of irreversible thermodynamics in a cosmological setting. Using a dynamical systems method, we determine the asymptotic future of plane…

General Relativity and Quantum Cosmology · Physics 2016-09-30 Dmitry Shogin , Per Amund Amundsen

Based on the conservation-dissipation formalism proposed by Zhu and collaborators we formulate a general version of the Israel-Stewart theory for relativistic fluid dynamics with bulk viscosity. Our generalization consists in allowing for a…

Analysis of PDEs · Mathematics 2022-03-14 Heiner Olbermann

In this article, we consider the Israel-Stewart equations of relativistic viscous fluid dynamics with bulk viscosity. We investigate the evolution of the equations linearized about solutions that satisfy the physical vacuum boundary…

Analysis of PDEs · Mathematics 2024-11-05 Runzhang Zhong

We report on recent results from VISH2+1, a code that solves the relativistic Israel-Stewart equations for causal viscous hydrodynamics for heavy-ion collisions with longitudinal boost invariance. We find that even ``minimal'' shear…

Nuclear Theory · Physics 2008-11-26 Ulrich W Heinz , Huichao Song

We derive an extended expression for the relaxation time of a barotropic Israel-Stewart (IS) fluid using the non-linear causality constraint, and propose a new formulation for modeling causal viscous dissipation in barotropic fluids. With…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Vishnu A Pai , Titus K Mathew

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…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Fabio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

We apply the causal Israel-Stewart theory of irreversible thermodynamics to model the matter content of the universe as a dissipative fluid with bulk and shear viscosity. Along with the full transport equations we consider their widely used…

General Relativity and Quantum Cosmology · Physics 2015-09-24 Dmitry Shogin , Per Amund Amundsen , Sigbjørn Hervik

The behaviour of solutions to the Einstein equations with a causal viscous fluid source is investigated. In this model we consider a spatially flat Robertson-Walker metric, the bulk viscosity coefficient is related to the energy density as…

General Relativity and Quantum Cosmology · Physics 2012-08-09 Luis P. Chimento , Alejandro S. Jakubi

Using a formalism that was recently developed in a companion paper, we rigorously prove the equivalence, in the linear regime, of a number of apparently different relativistic hydrodynamic theories proposed in the literature. In particular,…

Nuclear Theory · Physics 2024-06-04 L. Gavassino , M. M. Disconzi , J. Noronha

Isotropic and spatially homogeneous viscous fluid cosmological models are investigated using the truncated Israel-Stewart theory of irreversible thermodynamics to model the bulk viscous pressure. The governing system of differential…

General Relativity and Quantum Cosmology · Physics 2010-04-06 A A Coley , R J van den Hoogen

In this paper, we investigate the fluid/gravity correspondence in the framework of massive Einstein gravity. Treating the gravitational mass terms as an effective energy-momentum tensor and utilizing the Petrov-like boundary condition on a…

High Energy Physics - Theory · Physics 2016-11-18 Wen-Jian Pan , Yong-Chang Huang

We investigate the causality and the stability of the relativistic viscous magneto-hydrodynamics in the framework of the Israel-Stewart (IS) second-order theory, and also within a modified IS theory which incorporates the effect of magnetic…

Nuclear Theory · Physics 2020-11-02 Rajesh Biswas , Ashutosh Dash , Najmul Haque , Shi Pu , Victor Roy

We consider cosmological scenarios originating from a single imperfect fluid with bulk viscosity and apply Eckart's and both the full and the truncated M\"uller-Israel-Stewart's theories as descriptions of the non-equilibrium processes. Our…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-12 Oliver F. Piattella , Júlio C. Fabris , Winfried Zimdahl
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