Deterministic Chaos in General Relativity
Springer-Verlag New York Inc.
978-1-4757-9995-8 (ISBN)
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.
Erscheint lt. Verlag | 22.5.2013 |
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Reihe/Serie | NATO Science Series: B ; 332 |
Zusatzinfo | XII, 472 p. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 178 x 254 mm |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
ISBN-10 | 1-4757-9995-0 / 1475799950 |
ISBN-13 | 978-1-4757-9995-8 / 9781475799958 |
Zustand | Neuware |
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