Nonlinear Evolution of Anisotropic Cosmological Power

Abstract

There has been growing interest in the possibility of testing more precisely the assumption of statistical isotropy of primordial density perturbations. If it is to be tested with galaxy surveys at distance scales <~ 10 Mpc, then nonlinear evolution of anisotropic power must be understood. To this end, we calculate the angular dependence of the power spectrum to third order in perturbation theory for a primordial power spectrum with a quadrupole dependence on the wavevector direction. Our results suggest that primordial power anisotropies will be suppressed by <~ 7% in the quasilinear regime. We also show that the skewness in the statistically anisotropic theory differs by no more than 1% from that in the isotropic theory.

4 pages, 1 figure; accepted for publication in Physical Review Letters

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Cited by in corpus (14)

• Vector Field Models of Inflation and Dark Energy
• Anisotropic Inflation from Vector Impurity
• Imprints of Massive Primordial Fields on Large-Scale Structure
• Inflationary tensor fossils in large-scale structure
• Anisotropic imprint of long-wavelength tensor perturbations on cosmic structure
• Non-detection of a statistically anisotropic power spectrum in large-scale structure
• Probing the inflationary particle content: extra spin-2 field
• Polypolar spherical harmonic decomposition of galaxy correlators in redshift space: Toward testing cosmic rotational symmetry
• Bayesian Limits on Primordial Isotropy Breaking
• Classical stability of a homogeneous, anisotropic inflating space-time
• Possible Signatures of Inflationary Particle Content: Spin-2 Fields
• Can Relic Superhorizon Inhomogeneities be Responsible for Large-Scale CMB Anomalies?
• Erratum: Statistical anisotropy in the inflationary universe
• Testing the statistical isotropy of large scale structure with multipole vectors