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" Dynamical systems in cosmology / "
edited by J. Wainwright, G.F.R. Ellis.
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BL
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| Record Number
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982787
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| Doc. No
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b737157
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| Title & Author
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Dynamical systems in cosmology /\ edited by J. Wainwright, G.F.R. Ellis.
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| Publication Statement
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Cambridge, U.K. ;New York, NY, USA :: Cambridge University Press,, 1997.
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| Page. NO
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xiv, 343 pages :: illustrations ;; 26 cm
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| ISBN
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0521554578
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: 9780521554572
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| Bibliographies/Indexes
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Includes bibliographical references (pages 319-339) and index.
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| Contents
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Geometry of cosmological models / G.F.R. Ellis, S.T.C. Siklos, J. Wainwright -- Friedmann-Lemaître universes ; Cosmological observations / G.F.R. Ellis, J. Wainwright -- Introduction to dynamical systems / R. Tavakol -- Qualitative analysis of Bianchi cosmologies / G.F.R. Ellis, C. Uggla, J. Wainwright -- Bianchi cosmologies : non-tilted class A models / J. Wainwright -- Bianchi cosmologies : non-tilted class B models / C.G. Hewitt, J. Wainwright -- Bianchi cosmologies : extending the scope / C.G. Hewitt, C. Uggla, J. Wainwright -- Exact Bianchi cosmologies and state space / C.G. Hewitt [and others] -- Hamiltonian cosmology / C. Uggla -- Deterministic chaos and Bianchi cosmologies / D.W. Hobill -- G₂ cosmologies / C.G. Hewitt, J. Wainwright -- Silent universes / M. Bruni, S. Matarrese, O. Pantano -- Cosmological density perturbations / P.K.S. Dunsby -- Overview / G.F.R. Ellis, J. Wainwright.
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| Abstract
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This authoritive volume shows how modern dynamical systems theory can help us in understanding the evolution of cosmological models. It also compares this approach with Hamiltonian methods and numerical studies. A major part of the book deals with the spatially homogeneous (Bianchi) models and their isotropic subclass, the Friedmann-Lemaitre models, but certain classes of inhomogeneous models (for example 'silent universes') are also examined. The analysis leads to an understanding of how special (high symmetry) models determine the evolution of more general families of models; and how these families relate to real cosmological observations. This is the first book to relate modern dynamical systems theory to both cosmological models and cosmological observations. It provides an invaluable reference for graduate students and researchers in relativity, cosmology and dynamical systems theory.
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| Subject
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Cosmology-- Mathematical models.
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Differentiable dynamical systems.
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39.30 cosmology.
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Cosmologie.
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Cosmology-- Mathematical models.
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Differentiable dynamical systems.
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Differenzierbares dynamisches System
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Dynamique différentiable.
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Mathematisches Modell
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Weltall
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Dynamische systemen.
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Kosmologie.
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| Dewey Classification
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523.1/01/5118
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| LC Classification
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QB981.D96 1997
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| NLM classification
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39.30bcl
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523.1015118.22
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| Added Entry
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Ellis, George F. R., (George Francis Rayner)
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Wainwright, J., (John)
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