Weak-lensing $B$-modes as a probe of the isotropy of the universe

Abstract

We compute the angular power spectrum of the $B$-modes of the weak-lensing shear in a spatially anisotropic spacetime. We find that there must also exist off-diagonal correlations between the $E$-modes, $B$-modes, and convergence that allow one to reconstruct the eigendirections of expansion. Focusing on future surveys such as Euclid and SKA, we show that observations can constrain the geometrical shear in units of the Hubble rate at the percent level, or even better, offering a new and powerful method to probe our cosmological model.

4 pages, 3 figures. This version matches the published one

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• Light propagation in inhomogeneous and anisotropic cosmologies
• Violation of statistical isotropy and homogeneity in the 21-cm power spectrum
• Isotropization of the universe during inflation
• Anisotropic solid dark energy
• Lensing signals from Spin-2 perturbations
• Bianchi spacetimes as super-curvature modes around isotropic cosmologies
• Structure formation in an anisotropic universe: Eulerian perturbation theory
• Testing the scale-dependent hemispherical asymmetry with the 21-cm power spectrum from the epoch of reionization
• Two-point Correlation Functions in Inhomogeneous and Anisotropic Cosmologies
• Probing the Cosmological Principle with weak lensing shear
• $w=-1$ as an Attractor
• Probing the Cosmological Principle with CMB lensing and cosmic shear
• CMB line-of-sight integrators for nearly-isotropic cosmological models