Primordial power spectrum of tensor perturbations in Finsler spacetime

Abstract

We first investigate the gravitational wave in the flat Finsler spacetime. In the Finslerian universe, we derive the perturbed gravitational field equation with tensor perturbations. The Finslerian background spacetime breaks rotational symmetry and induces parity violation. Then we obtain the modified primordial power spectrum of tensor perturbations. The parity violation feature requires that the anisotropic effect contributes to $TT,TE,EE,BB$ angular correlation coefficients with $l^{\prime }=l+1$ and $TB,EB$ with $l^{\prime }=l$. The numerical results show that the anisotropic contributions to angular correlation coefficients depend on $m$, and $TE$ and $ET$ angular correlation coefficients are different.

15 pages, 12 fugures. arXiv admin note: text overlap with arXiv:1502.02256

References in corpus (14)

• A Joint Analysis of BICEP2/Keck Array and Planck Data
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• General Very Special Relativity is Finsler Geometry
• Riemann-Finsler geometry and Lorentz-violating kinematics
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Imprints of anisotropic inflation on the cosmic microwave background
• Exact solution of vacuum field equation in Finsler spacetime
• Anisotropic Inflation with the non-Vacuum Initial State
• Signatures of anisotropic sources in the trispectrum of the cosmic microwave background
• A unified description for dipoles of the fine-structure constant and SnIa Hubble diagram in Finslerian universe
• Finslerian MOND vs. observations of Bullet Cluster 1E0657-558
• Relating the inhomogeneous power spectrum to the CMB hemispherical anisotropy

Cited by in corpus (6)

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• Superconducting-Gravimeter Tests of Local Lorentz Invariance
• Testing local Lorentz invariance with short-range gravity
• Finslerian Ressiner-Nordstrom spacetime
• Finslerian dipolar modulation of the CMB power spectra at scales $2<l<600$
• Finsler space-time can explain both parity asymmetry and power deficit seen in CMB temperature anisotropies