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Brane isotropization in an extra-dimensional Tolman-Bondi universe

Philippe Brax1,*, José P. Mimoso2,†, and Nelson J. Nunes2,‡

  • 1Institut de Physique Theorique, CEA, IPhT, CNRS, URA 2306, F-91191Gif/Yvette Cedex, France
  • 2Faculdade de Ciências e Centro de Astronomia e Astrofísica da Universidade de Lisboa, 1749-016 Lisboa, Portugal

  • *philippe.brax@cea.fr
  • †jpmimoso@cii.fc.ul.pt
  • ‡njnunes@fc.ul.pt
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Phys. Rev. D 85, 123516 – Published 11 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.123516

Abstract

We consider the dynamics of a 3-brane embedded in an extra-dimensional Tolman-Bondi Universe where the origin of space plays a special rôle. The embedding is chosen such that the induced matter distribution on the brane respects the spherical symmetry of matter in the extra-dimensional space. The mirage cosmology on the probe brane is studied, resulting in an inhomogeneous and anisotropic four-dimensional cosmology where the origin of space is also special. We then focus on the spatial geometry around the origin and show that the induced geometry, which is initially inhomogeneous and anisotropic, converges to an isotropic and homogeneous Friedmann-Lemaitre 4d space-time. For instance, when a 3-brane is embedded in a 5d matter-dominated model, the 4d dynamics around the origin converge to a Friedmann-Lemaitre Universe in a radiation-dominated epoch. We analyze this isotropization process and show that it is a late-time attractor.

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Phys. Rev. D 85, 123516– Published 11 June, 2012
  • Received 6 April 2012

© 2012 American Physical Society

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