General relativistic non-ideal fluid equations for dark matter from a truncated cumulant expansion
arXiv:2005.12923 · doi:10.1103/PhysRevD.102.063520
Abstract
A new truncation scheme based on the cumulant expansion of the one-particle phase-space distribution function for dark matter particles is developed. Extending the method of moments in relativistic kinetic theory, we derive evolution equations which supplement the covariant conservation of the energy-momentum tensor and particle number current. Truncating the cumulant expansion we obtain a closed, covariant and hyperbolic system of equations which can be used to model the evolution of a general relativistic non-ideal fluid. As a working example we consider a Friedmann-Lemaître-Robertson-Walker cosmology with dynamic pressure and solve for the time evolution of the effective equation of state parameter.
arXiv comment10 pages, 1 figure
References in corpus (43)
- Collective flow and viscosity in relativistic heavy-ion collisions
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Hydrodynamic Modeling of Heavy-Ion Collisions
- Cosmological Non-Linearities as an Effective Fluid
- The Effective Field Theory of Cosmological Large Scale Structures
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
- Bulk Viscous Cosmology
- Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
- First-order relativistic hydrodynamics is stable
- Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
- Generation of Vorticity and Velocity Dispersion by Orbit Crossing
- The Lagrangian-space Effective Field Theory of Large Scale Structures
- Nonlinear causality of general first-order relativistic viscous hydrodynamics
- Bulk Viscous Cosmology
- Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
- The Einstein-Vlasov System/Kinetic Theory
- Stable and causal relativistic Navier-Stokes equations
- Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
- Fluid dynamics of out of equilibrium boost invariant plasmas
- Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
- Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
- Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
- Nearly isentropic flow at sizeable
- Large scale structure from viscous dark matter
- Emergence of hydrodynamical behavior in expanding quark-gluon plasmas
- Opacity dependence of elliptic flow in kinetic theory
- Accelerating cosmological expansion from shear and bulk viscosity
- A microscopic, non-equilibrium, statistical field theory for cosmic structure formation
- Causality of fluid dynamics for high-energy nuclear collisions
- How to generate a significant effective temperature for cold dark matter, from first principles
- Cosmic Structure Formation with Kinetic Field Theory
- Dark matter velocity dispersion effects on CMB and matter power spectra
- Renormalization-group flow of the effective action of cosmological large-scale structures
- Relativistic cosmological large scale structures at one-loop
- Finding closure: approximating Vlasov-Poisson using finitely generated cumulants
- Evolution of dark matter velocity dispersion
- Scalar field dark matter in hybrid approach
- Non-equilibrium statistical field theory for classical particles: Basic kinetic theory
- Evolution of the phase-space density and the Jeans scale for dark matter derived from the Vlasov-Einstein equation
- Kinetic theory and classical limit for real scalar quantum field in curved space-time
- Relativistic Euler Equations in cosmologies with non-linear structures
- The dark matter bispectrum from effective viscosity and one-particle irreducible vertices