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Relativistic chaos is coordinate invariant

Adilson E. Motter
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Abstract

The noninvariance of Lyapunov exponents in general relativity has led to the conclusion that chaos depends on the choice of the space-time coordinates. Strikingly, we uncover the transformation laws of Lyapunov exponents under general space-time transformations and we find that chaos, as characterized by positive Lyapunov exponents, is coordinate invariant. As a result, the previous conclusion regarding the noninvariance of chaos in cosmology, a major claim about chaos in general relativity, necessarily involves the violation of hypotheses required for a proper definition of the Lyapunov exponents.

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BibTeXRIS

Adilson E. Motter. 2003-12-07. Relativistic chaos is coordinate invariant. https://doi.org/10.1103/physrevlett.91.231101

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