Non-Gaussian Correlations Outside the Horizon

Aug, 2008
24 pages
Published in:
  • Phys.Rev.D 78 (2008) 123521
e-Print:
Report number:
  • UTTG-06-08

Citations per year

2008201220162020202402468
Abstract: (arXiv)
It is shown that under essentially all conditions, the non-linear classical equations governing gravitation and matter in cosmology have a solution in which far outside the horizon in a suitable gauge the reduced spatial metric (the spatial metric divided by the square of the Robertson--Walker scale factor aa) is time-independent, though with an arbitrary dependence on co-moving coordinates, and all perturbations to the other metric components and to all matter variables vanish, to leading order in 1/a1/a. The corrections are of order 1/a21/a^2, and are explicitly given for the reduced metric in a multifield model with a general potential. Further, this is the solution that describes the metric and matter produced by single-field inflation. These results justify the use of observed non-Gaussian correlations (or their absence) as a test of theories of single-field inflation, despite our ignorance of the constituents of the universe while fluctuations are outside the horizon after inflation, as long as graphs with loops can be neglected.
  • 04.60.-m
  • 98.80.Jk
  • 98.80.-k
  • 04.62.+v
  • horizon
  • correlation: non-Gaussianity
  • gravitation
  • coupling: matter
  • field equations: solution
  • field theory: scalar