Translational Invariance and the Anisotropy of the Cosmic Microwave Background

Details Translational Invariance and the Anisotropy of the Cosmic Microwave Background Translational Invariance and the Anisotropy of the Cosmic Microwave Background

2008-11-07

arxiv.org/abs/0811.1086v3

Phys.Rev.D81:083501,2010

Astronomy and Astrophysics

Astrophysics

Notation improved

Scientific paper

10.1103/PhysRevD.81.083501

Primordial quantum fluctuations produced by inflation are conventionally assumed to be statistically homogeneous, a consequence of translational invariance. In this paper we quantify the potentially observable effects of a small violation of translational invariance during inflation, as characterized by the presence of a preferred point, line, or plane. We explore the imprint such a violation would leave on the cosmic microwave background anisotropy, and provide explicit formulas for the expected amplitudes $$ of the spherical-harmonic coefficients.

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