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The Mixmaster Cosmological Metrics

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

Abstract

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 There is then an interlude describing how I came to a study of this model, and then a report of some mostly unpublished work from a Ph.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.

Keywords

Tangent Direction Fundamental Domain Bianchi Type Potential Term Fuchsian Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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