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Instabilities of Bianchi type IX Einstein static universes

John D. Barrow and Kei Yamamoto

  • DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA United Kingdom

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Phys. Rev. D 85, 083505 – Published 4 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.083505

Abstract

We investigate the stability of the Einstein static universe as a nonlocally rotationally symmetric Bianchi type IX solution of the Einstein equations in the presence of both nontilted and tilted fluids. We find that the static universe is unstable to homogeneous perturbations of Bianchi type IX to the future and the past.

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Phys. Rev. D 85, 083505– Published 4 April, 2012
  • Received 6 February 2012

© 2012 American Physical Society

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