Sources of chaos in Mixmaster cosmologies

Details Sources of chaos in Mixmaster cosmologies Sources of chaos in Mixmaster cosmologies

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631...15h&link_type=abstract

(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc

Astronomy and Astrophysics

Astronomy

6

Chaos, Cosmology, Einstein Equations, Nonlinear Equations, Three Body Problem, Galactic Evolution, Liapunov Functions, Partial Differential Equations, Relativity

Scientific paper

The dynamics of the Mixmaster cosmologies has been studied. It is demonstrated that under certain conditions the Einstein equations can behave in a chaotic manner. In general, if the effective energy density is negative and p = rho, the evolution will be chaotic as long as negative energy is continually fed into the system, thereby preventing the collapse to the final singularity. The results of the study are based upon a single definition of chaos. It is concluded that it is not at all clear what a chaotic solution to the Einstein equation means for cosmological solutions. The fact that each solution of the Mixmaster equations represents a different universe means that the different invariant quantities must be compared.

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