Density perturbations in the brane world

Sep, 2000
6 pages
Published in:
  • Phys.Rev.D 63 (2001) 044022
e-Print:

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Abstract:
In Randall-Sundrum-type brane-world cosmologies, density perturbations generate Weyl curvature in the bulk, which in turn backreacts on the brane via stress-energy perturbations. On large scales, the perturbation equations contain a closed system on the brane, which may be solved without solving for the bulk perturbations. Bulk effects produce a non-adiabatic mode, even when the matter perturbations are adiabatic, and alter the background dynamics. As a consequence, the standard evolution of large-scale fluctuations in general relativity is modified. The metric perturbation on large-scales is not constant during high-energy inflation. It is constant during the radiation era, except at most during the very beginning, if the energy is high enough.
  • Randall-Sundrum model
  • membrane model
  • dimension: 5
  • density: perturbation
  • inflation
  • tensor: energy-momentum
  • conservation law
  • perturbation: scalar