Relativistic chaos is coordinate invariant

Details Relativistic chaos is coordinate invariant Relativistic chaos is coordinate invariant

2003-05-05

arxiv.org/abs/gr-qc/0305020v2

Phys.Rev.Lett. 91 (2003) 231101

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Revtex

Scientific paper

10.1103/PhysRevLett.91.231101

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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