Dynamics of Robertson–Walker spacetimes with diffusion

Journal Article · Sun Mar 15 00:00:00 EDT 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.01.010· OSTI ID:22447614

Alho, A., E-mail: [e-mail] ^[1]; Calogero, S., E-mail: [e-mail] ^[2]; Machado Ramos, M.P., E-mail: [e-mail] ^[3]; Soares, A.J., E-mail: [e-mail] ^[4]

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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)

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.

• OSTI ID: 22447614
• Journal Information: Annals of Physics, Vol. 354; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

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