Inflation and primordial power spectra at anisotropic spacetime inspired by Planck's constraints on isotropy of CMB

TL;DR

This paper proposes an inflation model in anisotropic spacetime inspired by Planck's CMB data, producing a direction-dependent primordial power spectrum that aligns with observed dipolar modulation anomalies.

Contribution

It introduces a novel inflationary framework within Randers-Finsler spacetime that accounts for observed anisotropies in the CMB.

Findings

Primordial power spectrum exhibits dipolar modulation.

Model aligns with Planck's observed CMB anisotropy.

Provides a theoretical basis for anisotropic inflation scenarios.

Abstract

Recently, the Planck 2013 results showed possible evidence for a dipolar power modulation of the CMB temperature fluctuations at low--(\ell) multipoles. This anomaly might imply certain deviations from statistical isotropy. To incorporate the Planck's data into standard cosmological model, we propose an inflation model of the very early universe in an anisotropic spacetime. A generalized Friedmann-Robertson-Walker (FRW) metric is presented in the Randers-Finsler spacetime. We obtain the primordial power spectrum of the scalar perturbation with direction dependence, such as the dipolar modulation. This is consistent with the dipolar power modulation of the CMB anisotropy signaled by the Planck observation.