- Chaotic behavior in general relativity – J.D. Barrow

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• Annotation
• Contents:
• 1. Introduction
• 2. Non-linear dynamics
• 2 1 Poincare return mappings
• 2.2. Invariant measures
• 2.3. Ergodk theory
• 2.4. Metric entropy
• 2.5. Topological entropy
• 3. losnwlogical dynamics
• 3.1. Homogeneous etymological models
• 3.2. Physical motivation
• 4. Mixmaster dynamical system
• 4.1. Mixmaster evolution
• 4.2. Mixmaster return mapping
• 4.3. Invariant measure and metric entropy
• 4.4. Continued fractions
• 5. Virntkms
• 5.1. Perturbations
• 5.2. Time evolution
• 6. Interconnections
• 6,1. Hamiltonian systems
• 6.2. Sources of chaos
• 6.3. Gravitational turbulence
• 6.4. Universality
• 6,5. Gravitational entropy
• 7. Conclusions
• Acknowledgements
• Appendix 1. Metric entropy
• Appendix 2. Poincare return mappings
• References

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