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Title: 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 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 directions and which undergo accelerated expansion at all times.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Lisboa (Portugal)
  2. Department of Mathematical Sciences, Chalmers University of Technology, University of Gothenburg, Gothenburg (Sweden)
  3. Departamento de Matemática e Aplicações, Universidade do Minho, Guimarães (Portugal)
  4. Centro de Matemática, Universidade do Minho, Braga (Portugal)
Publication Date:
OSTI Identifier:
22447614
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 354; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGY; DE SITTER GROUP; DIFFUSION; EXACT SOLUTIONS; SCALAR FIELDS; SPACE-TIME; TWO-DIMENSIONAL CALCULATIONS