Finslerian dipolar modulation of the CMB power spectra at scales $2<l<600$

Abstract

A common explanation for the CMB power asymmetry is to introduce a dipolar modulation at the stage of inflation, where the primordial power spectrum is spatially varying. If the universe in the stage of inflation is Finslerian, and if the Finsler spacetime is non-reversible under parity flip, $x\to -x$, then a three dimensional spectrum which is the function of wave vector and direction is valid. In this paper, a three dimensional primordial power spectrum with preferred direction is derived in the framework of Finsler spacetime. It is found that the amplitude of dipolar modulation is related to the Finslerian parameter, which in turn is a function of wave vector. The angular correlation coefficients are presented, and the numerical results for the anisotropic correlation coefficients over the multipole range $2<l<600$ are given.

arXiv comment13 pages, 1 figure, accepted by EPJC

References in corpus (37)

• Cosmological Constant - the Weight of the Vacuum
• Planck 2013 results. I. Overview of products and scientific results
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Planck 2015 results. XVI. Isotropy and statistics of the CMB
• The Cosmological Constant Problem and Quintessence
• Particle physics models of inflation and curvaton scenarios
• Testing the cosmological principle of isotropy: local power spectrum estimates of the WMAP data
• Hemispherical power asymmetry in the three-year Wilkinson Microwave Anisotropy Probe sky maps
• Increasing evidence for hemispherical power asymmetry in the five-year WMAP data
• Estimators for CMB Statistical Anisotropy
• Spontaneous Isotropy Breaking: A Mechanism for CMB Multipole Alignments
• A Hemispherical Power Asymmetry from Inflation
• Cosmic Microwave Background Statistics for a Direction-Dependent Primordial Power Spectrum
• Power Asymmetry in Cosmic Microwave Background Fluctuations from Full Sky to Sub-degree Scales: Is the Universe Isotropic?
• Power asymmetry in WMAP and Planck temperature sky maps as measured by a local variance estimator
• Anisotropic Dark Energy: Dynamics of Background and Perturbations
• Limits on anisotropic inflation from the Planck data
• Imprints of anisotropic inflation on the cosmic microwave background
• Testing the Isotropy of the Universe with Type Ia Supernovae
• The Pesky Power Asymmetry
• Exact solution of vacuum field equation in Finsler spacetime
• The CMB asymmetry from inflation
• Microwave Background Correlations from Dipole Anisotropy Modulation
• Cosmological model with local symmetry of very special relativity and constraints on it from supernovae
• The small scale power asymmetry in the cosmic microwave background
• Inflationary power asymmetry from primordial domain walls
• Constraining anisotropy of the universe from different groups of type-Ia supernovae
• A unified description for dipoles of the fine-structure constant and SnIa Hubble diagram in Finslerian universe
• Constraining the Anisotropy of the Universe from Supernovae and Gamma-ray Bursts
• Visible sector inflation and the right thermal history in light of Planck data
• Finslerian MOND vs. observations of Bullet Cluster 1E0657-558
• The hemispherical asymmetry from a scale-dependent inflationary bispectrum
• Hemispherical Power Asymmetry from Scale-Dependent Modulated Reheating
• Generating the cosmic microwave background power asymmetry with $g_{NL}$
• CMB hemispherical asymmetry from non-linear isocurvature perturbations
• Strongly scale-dependent CMB dipolar asymmetry from super-curvature fluctuations
• Primordial power spectrum of tensor perturbations in Finsler spacetime

Cited by in corpus (4)

• Finslerian Ressiner-Nordstrom spacetime
• A tomographic test of cosmological principle using the JLA compilation of type Ia supernovae
• Isotropy statistics of CMB hot and cold spots
• Finsler space-time can explain both parity asymmetry and power deficit seen in CMB temperature anisotropies