Chaos in the Einstein Equations

John D. Barrow
Phys. Rev. Lett. 46, 963 – Published 13 April 1981; Erratum Phys. Rev. Lett. 46, 1436 (1981)
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Abstract

A very general cosmological solution to Einstein's equations exhibiting sensitive dependence on initial data is analyzed as a dynamical system. The metric and topologic entropies of the one-dimensional Poincaré map are determined and various results in number theory employed to calculate other invariants of the "chaotic" cosmological dynamics.

  • Received 2 December 1980

DOI:https://doi.org/10.1103/PhysRevLett.46.963

©1981 American Physical Society

Erratum

Chaos in the Einstein Equations

John D. Barrow
Phys. Rev. Lett. 46, 1436 (1981)

Authors & Affiliations

John D. Barrow

  • Physics Department, University of California, Berkeley, California 94720

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Vol. 46, Iss. 15 — 13 April 1981

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