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Phys. Rev. Lett. 78, 998–1001 (1997)

The Mixmaster Universe is Chaotic

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Neil J. Cornish1 and Janna J. Levin2
1School of Physics, University of Melbourne, Parkville 3052, Victoria, Australia
2Center for Particle Astrophysics, UC Berkeley, 301 Le Conte Hall, Berkeley, California 94720-7304

Received 7 May 1996; published in the issue dated 10 February 1997

For the past decade there has been a considerable debate about the existence of chaos in the mixmaster cosmological model. The debate has been hampered by the coordinate, or observer, dependence of standard chaotic indicators such as Lyapunov exponents. Here we use coordinate-independent, fractal methods to show the mixmaster universe is indeed chaotic.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.998
DOI:
10.1103/PhysRevLett.78.998
PACS:
98.80.Hw, 05.45.+b