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Title: Dynamics of Robertson–Walker spacetimes with diffusion

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 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

Citation Formats

Alho, A., E-mail: aalho@math.ist.utl.pt, Calogero, S., E-mail: calogero@chalmers.se, Machado Ramos, M.P., E-mail: mpr@mct.uminho.pt, and Soares, A.J., E-mail: ajsoares@math.uminho.pt. Dynamics of Robertson–Walker spacetimes with diffusion. United States: N. p., 2015. Web. doi:10.1016/J.AOP.2015.01.010.
Alho, A., E-mail: aalho@math.ist.utl.pt, Calogero, S., E-mail: calogero@chalmers.se, Machado Ramos, M.P., E-mail: mpr@mct.uminho.pt, & Soares, A.J., E-mail: ajsoares@math.uminho.pt. Dynamics of Robertson–Walker spacetimes with diffusion. United States. doi:10.1016/J.AOP.2015.01.010.
Alho, A., E-mail: aalho@math.ist.utl.pt, Calogero, S., E-mail: calogero@chalmers.se, Machado Ramos, M.P., E-mail: mpr@mct.uminho.pt, and Soares, A.J., E-mail: ajsoares@math.uminho.pt. Sun . "Dynamics of Robertson–Walker spacetimes with diffusion". United States. doi:10.1016/J.AOP.2015.01.010.
@article{osti_22447614,
title = {Dynamics of Robertson–Walker spacetimes with diffusion},
author = {Alho, A., E-mail: aalho@math.ist.utl.pt and Calogero, S., E-mail: calogero@chalmers.se and Machado Ramos, M.P., E-mail: mpr@mct.uminho.pt and Soares, A.J., E-mail: ajsoares@math.uminho.pt},
abstractNote = {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.},
doi = {10.1016/J.AOP.2015.01.010},
journal = {Annals of Physics},
number = ,
volume = 354,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2015},
month = {Sun Mar 15 00:00:00 EDT 2015}
}