Deterministic Chaos in General Relativity

Author:   David Hobill ,  Adrian Burd ,  A.A. Coley
Publisher:   Springer Science+Business Media
Edition:   1994 ed.
Volume:   332
ISBN:  

9780306448119


Pages:   472
Publication Date:   30 September 1994
Format:   Hardback
Availability:   In Print   Availability explained
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Deterministic Chaos in General Relativity


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Author:   David Hobill ,  Adrian Burd ,  A.A. Coley
Publisher:   Springer Science+Business Media
Imprint:   Kluwer Academic/Plenum Publishers
Edition:   1994 ed.
Volume:   332
Dimensions:   Width: 17.80cm , Height: 2.70cm , Length: 25.40cm
Weight:   2.530kg
ISBN:  

9780306448119


ISBN 10:   0306448114
Pages:   472
Publication Date:   30 September 1994
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

A Brief Review of “Deterministic Chaos in General Relativity”.- Mathematical Preliminaries.- to Dynamical Systems.- A Short Course on Chaotic Hamiltonian Systems.- Geometry of Perturbation Theory.- Between Integrability and Chaos.- On Defining Chaos in the Absence of Time.- On the Dynamics of Generators of Cauchy Horizons.- Compact Relativistic Systems.- Chaos in the Case of Two Fixed Black Holes.- Particle Motion Around Perturbed Black Holes: The Onset of Chaos.- Critical Behaviour in Scalar Field Collapse.- Cosmological Systems.- Relativistic Cosmologies.- Homoclinic Chaos in Relativistic Cosmology.- Mixing Properties of k = ?1 FLRW Models.- Classical and Quantum Chaos in Robertson-Walker Cosmologies.- Relativistic Fractal Cosmologies.- Self-Similar Asymptotic Solutions of Einstein’s Equations.- Nonlinearly Interacting Gravitational Waves in the Gowdy T3 Cosmology.- Bianchi IX (Mixmaster) Dynamics.- The Mixmaster Cosmological Metrics.- The Belinskii-Khalatnikov-Lifshitz Discrete Evolution as an Approximation to Mixmaster Dynamics.- How Can You Tell if the Bianchi IX Models Are Chaotic?.- The Chaoticity of the Bianchi IX Cosmological Model.- Chaos in the Einstein Equations-Characterization and Importance?.- Integrability of the Mixmaster Universe.- Continuous Time Dynamics and Iterative Maps of Ellis-MacCallum-Wainwright Variables.- A Dynamical Systems Approach to the Oscillatory Singularity in Bianchi Cosmologies.- Participants.

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