TY - JOUR
T1 - Relativistic chaos is coordinate invariant
AU - Motter, Adilson E.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevLett.91.231101
DO - 10.1103/PhysRevLett.91.231101
M3 - Article
C2 - 14683170
AN - SCOPUS:0346686286
SN - 0031-9007
VL - 91
JO - Physical review letters
JF - Physical review letters
IS - 23
ER -