Relativistic chaos is coordinate invariant
General Relativity and Quantum Cosmology
2007-05-23 v2 Astrophysics
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.
Keywords
Cite
@article{arxiv.gr-qc/0305020,
title = {Relativistic chaos is coordinate invariant},
author = {Adilson E. Motter},
journal= {arXiv preprint arXiv:gr-qc/0305020},
year = {2007}
}
Comments
4 pages, Revtex