The Mixmaster Cosmological Metrics

  • Charles W. Misner
Part of the NATO ASI Series book series (NSSB, volume 332)


This paper begins with a short presentation of the Bianchi IX or “Mixmaster” cosmological model, and some ways of writing the Einstein equations for it. There is then an interlude describing how I came to a study of this model, and then a report of some mostly unpublished work from a Ph. D. thesis of D. M. (Prakash) Chitre relating approximate solutions to geodesic flows on finite volume negative curvature Riemannian manifolds, for which he could quote results on ergodicity. A final section restates studies of a zero measure set of solutions which in first approximation appear to have only a finite number of Kasner epochs before reaching the singularity. One finds no plausible case for such behavior in better approximations.


Tangent Direction Fundamental Domain Bianchi Type Potential Term Fuchsian Group 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Charles W. Misner
    • 1
  1. 1.Dept. of PhysicsUniversity of MarylandCollege ParkUSA

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