Dynamics of Robertson-Walker spacetimes with diffusion
General Relativity and Quantum Cosmology
2015-06-22 v2 Cosmology and Nongalactic Astrophysics
Abstract
We study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by analyzing the qualitative behavior of general solutions. To this purpose we recast the equations in the form of a two dimensional dynamical system and perform a global analysis of the flow. Among the admissible behaviors, we find solutions that are asymptotically de-Sitter both in the past and future time direction and which undergo accelerated expansion at all times.
Cite
@article{arxiv.1409.4400,
title = {Dynamics of Robertson-Walker spacetimes with diffusion},
author = {Artur Alho and Simone Calogero and Maria P. Machado Ramos and Ana J. Soares},
journal= {arXiv preprint arXiv:1409.4400},
year = {2015}
}
Comments
19 pages, 4 figures. Matches final version