2003/05/31 by Adilson E. Motter
Physics and Astronomy · #gr-qc #astro-ph
paper · pdf · doi:10.1103/physrevlett.91.231101
published as Phys.Rev.Lett. 91 (2003) 231101 · 4 pages, Revtex
arxiv created 2003/12/07 · arxiv updated 2009/11/30
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.