Abstract
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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Ove, R. Properties of a model Einstein equation. Gen Relat Gravit 22, 631–653 (1990). https://doi.org/10.1007/BF00755984
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DOI: https://doi.org/10.1007/BF00755984