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The gauge invariant cosmological Jacobi map from weak lensing at leading order

Giuseppe Fanizza, Enea Di Dio, Ruth Durrer, Giovanni Marozzi

27/1/22 Published in : arXiv:2201.11552

We compute the weak lensing Jacobi map at first order in perturbation theory and show that it is both, gauge invariant and symmetric. Linear perturbations therefore do not induce any rotation. However, vector and tensor perturbations do induce B-modes in the shear. We show that contrary to what is often claimed in the literature, the shear B-mode power spectrum is not fully determined by the rotation power spectrum. Also the E-mode shear power spectrum is not determined by the convergence power spectrum. While this difference is small for scalar perturbations, it becomes very relevant for tensor perturbations, i.e. gravitational waves.

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Research project(s)

  • String Theory
  • Field Theory

An Estimator for the lensing potential from galaxy number counts

A-branes, foliations and localization

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