New anisotropic sudden singularities and dimensional reduction

John D. Barrow
Phys. Rev. D 102, 024073 – Published 24 July 2020

Abstract

We demonstrate the existence of sudden finite-time singularities, with constant scale factor, expansion rate, and density, in expanding Bianchi type-IX universes with free anisotropic pressures. A new type of nonsimultaneous anisotropic sudden singularity arises because of the divergences of the pressures, which may be of barrel or pancake type. The effect of one or more directions of expansion hitting a sudden singularity is tantamount to dimensional reductions as the nonsingular directions continue expanding and can see the sudden singularity in their past.

  • Received 25 June 2020
  • Accepted 9 July 2020

DOI:https://doi.org/10.1103/PhysRevD.102.024073

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

John D. Barrow

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

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Issue

Vol. 102, Iss. 2 — 15 July 2020

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