Signature for local mixmaster dynamics in U(1) symmetric cosmologies

Beverly K. Berger and Vincent Moncrief
Phys. Rev. D 62, 123501 – Published 3 November 2000
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Abstract

Previous studies have provided strong support for a local, oscillatory approach to the singularity in U(1) symmetric, spatially inhomogeneous vacuum cosmologies on T3×R. The description of a vacuum Bianchi type IX, spatially homogeneous mixmaster cosmology (on S3×R) in terms of the variables used to describe the U(1) symmetric cosmologies indicates that the oscillations in the latter are in fact those of local mixmaster dynamics. One of the variables of the U(1) symmetric models increases only at the end of a mixmaster era. Such an increase therefore yields a qualitative signature for local mixmaster dynamics in spatially inhomogeneous cosmologies.

  • Received 21 June 2000

DOI:https://doi.org/10.1103/PhysRevD.62.123501

©2000 American Physical Society

Authors & Affiliations

Beverly K. Berger*

  • Department of Physics, Oakland University, Rochester, Michigan 48309

Vincent Moncrief

  • Departments of Physics and Mathematics, Yale University, New Haven, Connecticut 06520

  • *Email address: berger@oakland.edu
  • Email address: vincent.moncrief@yale.edu

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Issue

Vol. 62, Iss. 12 — 15 December 2000

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