Properties of a model Einstein equation

Computer Science

Scientific paper

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Scientific paper

A simple differential equation which shares some properties of the Einstein equations is constructed, and a few aspects of its behavior are investigated. Of primary interest are results which suggest the possibility of chaos in the vacuum Einstein theory, and the possibility that complex shock-like features may develop from smooth initial data. A means of migrating the results to the full theory is outlined, and preliminary evidence is provided that the full theory does indeed possess properties suggested by the toy model.

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