Isotropic solutions of the Einstein-Boltzmann equations

DOI10.1007/BF01877593zbMath0221.35069WikidataQ56608245 ScholiaQ56608245MaRDI QIDQ2547327

R. Treciokas, George F. R. Ellis

Publication date: 1971

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items

Global aspects of shear-free perfect fluids in general relativity, Thermodynamics of a model of nonadiabatic spherical gravitational collapse, PERFECT FLUIDS FROM HIGH POWER SIGMA-MODELS, Invariant solutions of Liouville's equation in Robertson-Walker space- times, Balancing anisotropic curvature with gauge fields in a class of shear-free cosmological models, On almost Ehlers–Geren–Sachs theorems, Bianchi type I cosmological model with a viscous fluid, Observationally homogeneous shear-free perfect fluids, Relativistic holonomic fluids, On the velocities of the barotropic perfect fluids, On spherically symmetric shear-free perfect fluid configurations (neutral and charged). II. Equation of state and singularities, On spherically symmetric shear-free perfect fluid configurations (neutral and charged). III. Global view, Shear-free perfect fluids in general relativity. I. Petrov type N Weyl tensor, Reviving the shear-free perfect fluid conjecture in general relativity, Elucidation of covariant proofs in general relativity: example of the use of algebraic software in the shear-free conjecture in MAPLE, Bianchi II, VIII, and IX viscous fluid cosmology, Generation of CMB and cosmological constant via bulk viscosity, Anisotropic cosmological model with viscous fluid, An alternative to quintessence, Quasi-spherical solution with heat flux and non-adiabatic collapse of radiating star, A class of shear-free perfect fluids in general relativity. I, An exact anisotropic solution of the Einstein-Liouville equations, Anisotropic solutions of the Einstein-Boltzmann equations. I: General formalism, Anisotropic solutions of the Einstein-Boltzmann equations. II: Some exact properties of the equations, Self-similarity breaking of cosmological solutions with collisionless matter, Infinitesimal relative position vector fields for observers in a reference frame and applications to conformally stationary spacetimes, Investigations of \(f(R)\)-gravity counterparts of the general relativistic shear-free conjecture by illustrative examples, Harmonic morphisms and shear-free perfect fluids coupled with gravity, A study of perturbations in scalar–tensor theory using 1 + 3 covariant approach, Shear-free perfect fluids in general relativity II. Aligned, Petrov type III space-times, Viscous inflationary universe models, Collision-free gases in spatially homogeneous space-times, Collision-free gases in static space-times, Theorems on shear-free perfect fluids with their Newtonian analogues, On a viable first-order formulation of relativistic viscous fluids and its applications to cosmology, Shear-free perfect fluids in general relativity: Gravito-magnetic spacetimes, Shear-free perfect fluids with a \(\gamma\)-law equation of state, The GHP II package with applications

Cites Work

• Internal State of a Gravitating Gas
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item