Relating the inhomogeneous power spectrum to the CMB hemispherical anisotropy

Abstract

We relate the observed hemispherical anisotropy in the cosmic microwave radiation data to an inhomogeneous power spectrum model. The hemispherical anisotropy can be parameterized in terms of the dipole modulation model. This model leads to correlations between spherical harmonic coefficients corresponding to multipoles, l and l+1. We extract the $l$ dependence of the dipole modulation amplitude, A, by making a fit to the WMAP and PLANCK CMBR data. We propose an inhomogeneous power spectrum model and show that it also leads to correlations between multipoles, l and l+1. The model parameters are determined by making a fit to the data. The spectral index of the inhomogeneous power spectrum is found to be consistent with zero.

13 pages, 2 figures, minor revisions

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Cited by in corpus (16)

• The Knotted Sky I: Planck constraints on the primordial power spectrum
• Expected dipole asymmetry in CMB polarization
• Dipole Modulation of Cosmic Microwave Background Temperature and Polarization
• Probing statistical isotropy of cosmological radio sources using SKA
• Imprint of Inhomogeneous and Anisotropic Primordial Power Spectrum on CMB Polarization
• Testing physical models for dipolar asymmetry: from temperature to k space to lensing
• Hemispherical Power Asymmetry in intensity and polarization for Planck PR4 data
• Primordial power spectrum of tensor perturbations in Finsler spacetime
• Testing statistical Isotropy in Cosmic Microwave Background Polarization maps
• Detection of Dipole Modulation in CMB Temperature Anisotropy Maps from WMAP and Planck using Artificial Intelligence
• A Pixel Space Method for Testing Dipole Modulation in the CMB Polarization
• Cosmological Power Spectrum in Non-commutative Space-time
• 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
• Level correlations of the CMB temperature angular power spectrum
• Cosmological consequences of statistical inhomogeneity