Peculiar Velocity, Cosmic Perturbation Theory and the CMB Anisotropy

Abstract

This is a somewhat extended version of the original July 93 report. It is proved that the cosmological density perturbation is associated with a peculiar velocity field. This allows a simple formulation of cosmological perturbation theory, which works entirely with quasi-Newtonian fluid flow equations. As an illustration, the large scale cosmic microwave background anisotropy (Sachs-Wolfe effect) is calculated without any reference to the metric perturbation. In addition, assuming the usual adiabatic initial condition on the density perturbation, we show that the dipole of the anisotropy measures our peculiar velocity relative to the average peculiar velocity within the last scattering surface of the microwave background, thus defining its frame of reference.

9 pages, REVTEX, LANCS 9321

References in corpus (2)

• The Cold Dark Matter Density Perturbation
• Inflation and Large Scale Structure Formation After COBE

Cited by in corpus (13)

• A general proof of the conservation of the curvature perturbation
• CMB Anomalies after Planck
• Superhorizon Perturbations and the Cosmic Microwave Background
• LARGE SCALE PERTURBATIONS IN THE OPEN UNIVERSE
• Hemispherical Asymmetry and Local non-Gaussianity: a Consistency Condition
• Dipole Anisotropy from an Entropy Gradient
• The Open Universe Grishchuk-Zel'dovich Effect
• Explaining Excess Dipole in NVSS Data Using Superhorizon Perturbation
• Using GAMA to probe the impact of small-scale galaxy physics on nonlinear redshift-space distortions
• Relativistic Effects on Galaxy Redshift Samples due to Target Selection
• Cosmological CMBR dipole in open universes ?
• Density Contrast-Peculiar Velocity Relation in the Newtonian Gauge
• Testing eternal inflation with the kinetic Sunyaev Zel'dovich effect