Generalrelativistic kinetic theory of the RobertsonWalker and Petrov G_{4} VIII cosmologies.
Abstract
Generalrelativistic kinetic theory is utilized to discuss the characteristics and evolution of the RobertsonWalker and Petrov G4 VIII cosmological models. The form of the distribution function for a collisionless gas satisfying Liouville's equation is found from a knowledge of the Killing vectors which describe the symmetries of the spacetimes. For the isotropic and homogeneous cosmology a specific example of an equation of state which evolves as a function of the radius of the model is given, while for the spacetime classified in the Petrov groups as a G4 VIII the kinematic properties are analyzed and a demonstration is presented that the distribution function leads to an imperfect fluid.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 December 1977
 DOI:
 10.1007/BF02898747
 Bibcode:
 1977NCimB..42..183R
 Keywords:

 Cosmology;
 Kinetic Theory;
 Relativistic Theory;
 SpaceTime Functions;
 Collisionless Plasmas;
 Distribution Functions;
 Einstein Equations;
 Equations Of State;
 Liouville Equations;
 Astrophysics;
 Cosmological Models:Relativity;
 Cosmological Models: RobertsonWalker