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

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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.

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astro-ph.CO 1

years

2026 1

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CONDITIONAL 1

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  • Multipolar structure of the local expansion rate from incomplete sky data astro-ph.CO · 2026-07-08 · conditional · none · ref 66 · internal anchor

    CF4 data yield a 3.3σ excess dipole in the local expansion-rate fluctuation field at (l,b)=(290°,-4°)±5°, sourced mainly by z∈[0.03,0.05], with quadrupole/octupole consistent with ΛCDM and no multipole-vector alignments.