Deterministic Chaos in General Relativity

Hardcover | September 30, 1994

EditorDavid Hobill, Adrian Burd, A.A. Coley

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Explores some of the discrepancies in Einstein's general theory of relativity that have come to light in the past few years under investigation by nonlinear methods. The 25 papers, from a workshop in Kananaski, Alberta, July 1993, primarily share perspectives with others working specifically on such problems, but also introduce scientists working with general relativity to the new methods and findings. They cover the mathematical preliminaries, compact relativistic systems, cosmological systems, and Bianchi IX (Mixmaster) dynamics. Annotation c. by Book News, Inc., Portland, Or.

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Explores some of the discrepancies in Einstein's general theory of relativity that have come to light in the past few years under investigation by nonlinear methods. The 25 papers, from a workshop in Kananaski, Alberta, July 1993, primarily share perspectives with others working specifically on such problems, but also introduce scienti...

Format:HardcoverDimensions:483 pages, 10 × 7.01 × 0.27 inPublished:September 30, 1994Publisher:Springer US

The following ISBNs are associated with this title:

ISBN - 10:0306448114

ISBN - 13:9780306448119

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Table of Contents

A Brief Review of `Deterministic Chaos in General Relativity'; D.W. Hobill. Mathematical Preliminaries: Introduction to Dynamical Systems; J. Wainwright. A Short Course in Chaotic Hamiltonian Systems; R.C. Churchill. Geometry of Perturbation Theory; R. Cushman. Between Integrability and Chaos; D.L. Rod, R.C. Churchill. On Defining Chaos in the Absence of Time; R.C. Churchill. On the Dynamics of Generators of Cauchy Horizons; P.T. Chrusciel, J. Isenberg. Compact Relativistic Systems: Chaos in the Case of Two Fixed Black Holes; G. Contopoulos. Particle Motion around Perturbed Black Holes: The Onset of Chaos; L. Bombelli. Cosmological Systems: Relativistic Cosmologies; M.A.H. MacCallum. Homoclinic Chaos in Relativistic Cosmology; E. Calzetta. Mixing Properties of k=1 FLRW Models; G.F.R. Ellis, R. Tavakol. Classical and Quantum Chaos in Robertson-Walker Cosmologies; R. Tomaschitz. Relativistic Fractal Cosmologies; M.B. Ribeiro. Bianchi IX; (Mixmaster) Dynamics: The Mixmaster Cosmological Metrics; C.W. Misner. The Belinskii-Khalatnikov-Lifshitz Discrete Evolution as an Approximation to Mixmaster Dynamics; B.K. Berger. 8 additional articles. Index.