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

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.

10 pages, no figure

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Cited by in corpus (24)

• Exact solution of vacuum field equation in Finsler spacetime
• Anisotropy of Cosmic Acceleration
• The small scale power asymmetry in the cosmic microwave background
• CMB dipole asymmetry from a fast roll phase
• Directional dependence of CMB parity asymmetry
• A unified description for dipoles of the fine-structure constant and SnIa Hubble diagram in Finslerian universe
• Quadrupole--octopole alignment of CMB related to primordial power spectrum with dipolar modulation in anisotropic spacetime
• Constraining the Anisotropy of the Universe from Supernovae and Gamma-ray Bursts
• Cosmological anisotropy from non-comoving dark matter and dark energy
• Relating the inhomogeneous power spectrum to the CMB hemispherical anisotropy
• Imprint of Inhomogeneous and Anisotropic Primordial Power Spectrum on CMB Polarization
• Probing Large-Angle Correlations with the Microwave Background Temperature and Lensing Cross Correlation
• Finslerian perturbation for the $\Lambda$CDM model
• Cosmic magnetization in curved and Lorentz violating space-times
• Position Space CMB Anomalies from Multi-Stream Inflation
• Affine sphere spacetimes which satisfy the relativity principle
• Warm inflation with non-comoving scalar field and radiation fluid
• Scale-dependent CMB power asymmetry from primordial speed of sound and a generalized $\delta$N formalism
• Noncommutative Geometry and the Primordial Dipolar Imaginary Power Spectrum
• A Pixel Space Method for Testing Dipole Modulation in the CMB Polarization
• Finsler space-time can explain both parity asymmetry and power deficit seen in CMB temperature anisotropies
• Anisotropic power spectrum and the observed low-l power in PLANCK CMB data
• Detecting CMB modulations and non-Gaussianities from power multipoles
• Spectator fields and their imprints on the Cosmic Microwave Background