Dynamics of Robertson–Walker spacetimes with diffusion
Journal Article
·
· Annals of Physics
- Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Lisboa (Portugal)
- Department of Mathematical Sciences, Chalmers University of Technology, University of Gothenburg, Gothenburg (Sweden)
- Departamento de Matemática e Aplicações, Universidade do Minho, Guimarães (Portugal)
- 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
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