Dynamics of Robertson-Walker spacetimes with diffusion

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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2015-02
Main Authors: Alho, Artur, Calogero, Simone, Machado Ramos, Maria P, Soares, Ana J
Format: Article
Language:English
Subjects:
Mathematical analysis
Qualitative analysis
Spacetime
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1409.4400