Chaos in the Einstein Equations

Mathematics – Number Theory

Scientific paper

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Exact Solutions, Relativity And Gravitation

Scientific paper

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.

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