Chapter: Continuous Time Dynamics and Iterative Maps of Ellis-MacCallum-Wainwright Variables

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Home > Deterministic Chaos in General Relativity > Continuous Time Dynamics and Iterative Maps of Ellis-MacCallum-Wainwright Variables

Deterministic Chaos in General Relativity |

David Hobill; Adrian Burd; A.A. Coley

Springer US

Deterministic Chaos in General Relativity

Continuous Time Dynamics and Iterative Maps of Ellis-MacCallum-Wainwright Variables

Chapter Info

Authors

Teviet D. Creighton; David W. Hobill

ARI Id

1664508940992_1983169

Access

Not Available Free

Pages

433-448

DOI

10.1007/978-1-4757-9993-4_24

Chapter URL

https://rd.springer.com/chapter/10.1007/978-1-4757-9993-4_24

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		i-xi
A Brief Review of “Deterministic Chaos in General Relativity”	David Hobill	1-16
Front Matter		17-17
Introduction to Dynamical Systems	John Wainwright	19-61
A Short Course on Chaotic Hamiltonian Systems	Richard C. Churchill	63-88
Geometry of Perturbation Theory	Richard Cushman	89-101
Between Integrability and Chaos	David L. Rod; Richard C. Churchill	103-105
On Defining Chaos in the Absence of Time	Richard C. Churchill	107-112
On the Dynamics of Generators of Cauchy Horizons	P. T. Chruściel; J. Isenberg	113-125
Front Matter		127-127
Chaos in the Case of Two Fixed Black Holes	G. Contopoulos	129-144
Particle Motion Around Perturbed Black Holes: The Onset of Chaos	Luca Bombelli	145-154
Critical Behaviour in Scalar Field Collapse	M. W. Choptuik	155-175
Front Matter		177-177
Relativistic Cosmologies	M. A. H. MacCallum	179-201
Homoclinic Chaos in Relativistic Cosmology	Esteban Calzetta	203-235
Mixing Properties of Compact K = −1 FLRW Models	George Ellis; Reza Tavakol	237-250
Classical and Quantum Chaos in Robertson-Walker Cosmologies	Roman Tomaschitz	251-268
Relativistic Fractal Cosmologies	Marcelo B. Ribeiro	269-296
Self-Similar Asymptotic Solutions of Einstein’s Equations	A. A. Coley; R. J. van den Hoogen	297-306
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