Causal Thermodynamics in Relativity

Abstract

I review the causal relativistic thermodynamics developed by Israel and Stewart, and discuss some applications in cosmology and astrophysics. The lectures begin with an overview of relativistic fluid dynamics (in a covariant formalism) and equilibrium thermodynamics. Causal bulk viscosity in cosmology is considered in detail, including some new results.

Lectures given at the Hanno Rund Workshop on Relativity and Thermodynamics, University of Natal, June 1996. 39 pages Latex

Cited by in corpus (70)

• Relativistic Fluid Dynamics: Physics for Many Different Scales
• Relativistic cosmology and large-scale structure
• Viscous Cosmology for Early- and Late-Time Universe
• Generalized Robertson-Walker space times, a survey
• Entropy Current in Conformal Hydrodynamics
• Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality
• Exploring a matter-dominated model with bulk viscosity to drive the accelerated expansion of the Universe
• Lecture Notes in Cosmology
• Bulk viscous cosmology with causal transport theory
• Non-adiabatic dark fluid cosmology
• Reheating and causal thermodynamics
• Hydrodynamics and Flow
• Accelerated and decelerated expansion in a causal dissipative cosmology
• Dissipative or Conservative cosmology with dark energy ?
• Viscous dissipative Chaplygin gas dominated homogenous and isotropic cosmological models
• First-order thermodynamics of Horndeski gravity
• New Interaction between Dark Energy and Dark Matter Changes Sign during Cosmological Evolution
• Viscous dissipative effects in isotropic brane cosmology
• Interacting viscous dark fluids
• The Rest-Frame Instant Form of Relativistic Perfect Fluids and of Non-Dissipative Elastic Materials
• Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors
• Viscous Quark-Gluon Plasma in the Early Universe
• Nonlinear perturbations for dissipative and interacting relativistic fluids
• Note on the thermodynamics and the speed of sound of a scalar field
• The role of shear in dissipative gravitational collapse
• First-order thermodynamics of scalar-tensor cosmology
• Gravitational entropies in LTB dust models
• Cosmology and thermodynamics of FRW universe with bulk viscous stiff fluid
• Temporal evolution of a radiating star via Lie symmetries
• Stability analysis and constraints on interacting viscous cosmology
• Dynamics of Viscous Dissipative Plane Symmetric Gravitational Collapse
• Hydrodynamics of galactic dark matter
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Note on scalars, perfect fluids, constrained field theories, and all that
• Causal thermodynamics of a gravitational collapse model for an anisotropic fluid with dissipative flows
• Constraining a causal dissipative cosmological model
• Relativistic theories of interacting fields and fluids
• On the newtonian limit and cut--off scales of isothermal dark matter halos with cosmological constant
• Relativistic Viscous Universe Models
• Gravitational entropy of local cosmic voids
• Van der Waals Universe with Adiabatic Matter Creation
• Thermal fluctuations in viscous cosmology
• Study of a viscous $\Lambda$WDM model: Near equilibrium condition, entropy production, and cosmological constraints
• Shear-free Anisotropic Cosmological Models in f(R) Gravity
• Lagrangian theory of structure formation in relativistic cosmology. V. Irrotational fluids
• Dark energy in thermal equilibrium with the cosmological horizon?
• Integrable Cosmological Model with van der Waals Gas and Matter Creation
• Dissipative Processes in the Early Universe: Bulk Viscosity
• Hydrodynamical description of Galactic Dark Matter
• Thermodynamics of viscous dark energy for the late future time universe
• WIMP dark matter in bulk viscous non-standard cosmologies
• Hidden Killing Fields, Geometric Symmetries and Black Hole Mergers
• A causal viscous cosmology without singularities
• On the Field Theoretical Description of an Alternative Model to Generalized Chaplygin Gas and its Thermodynamic Behaviour
• Phase space analysis of a FRW cosmology in the Maxwell$-$Cattaneo approach
• Cosmological scenario based on the particle creation and holographic equipartition
• Gravitational entropy of cosmic expansion
• Constructing a family of conformally flat scalar field models
• Dynamical system analysis and thermal evolution of the causal dissipative model
• A toy model of viscous relativistic geometrically thick disk in Schwarzschild geometry
• A new approach to the thermodynamics of scalar-tensor gravity
• Non-adiabatic spherical collapse with a two-fluid atmosphere
• Nonlocal extension of causal thermodynamics of the isotropic cosmic fluid
• Conformal Symmetries of the Strumia and Tetradis Metric
• Entropy current in relativistic quantum statistical mechanics
• Structure formation with causal bulk viscosity
• Shear viscosity, relaxation and collision times in spherically symmetric spacetimes
• Extended Einstein-Maxwell model
• Curvature in causal BD-type inflationary cosmology
• Causal heat flow in Bianchi type-V universe