General-relativistic kinetic theory of the Robertson-Walker and Petrov G4 VIII cosmologies.
Abstract
General-relativistic kinetic theory is utilized to discuss the characteristics and evolution of the Robertson-Walker 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 space-times. 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 space-time 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;
- Space-Time Functions;
- Collisionless Plasmas;
- Distribution Functions;
- Einstein Equations;
- Equations Of State;
- Liouville Equations;
- Astrophysics;
- Cosmological Models:Relativity;
- Cosmological Models: Robertson-Walker