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

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 o...

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Detalles Bibliográficos
Autores principales: Fanizza, Giuseppe, Di Dio, Enea, Durrer, Ruth, Marozzi, Giovanni
Lenguaje:eng
Publicado: 2022
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2022/08/052
http://cds.cern.ch/record/2800633
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author Fanizza, Giuseppe
Di Dio, Enea
Durrer, Ruth
Marozzi, Giovanni
author_facet Fanizza, Giuseppe
Di Dio, Enea
Durrer, Ruth
Marozzi, Giovanni
author_sort Fanizza, Giuseppe
collection CERN
description 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 significant for tensor perturbations, i.e. gravitational waves.
id cern-2800633
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
record_format invenio
spelling cern-28006332023-06-29T04:19:47Zdoi:10.1088/1475-7516/2022/08/052http://cds.cern.ch/record/2800633engFanizza, GiuseppeDi Dio, EneaDurrer, RuthMarozzi, GiovanniThe gauge invariant cosmological Jacobi map from weak lensing at leading ordergr-qcGeneral Relativity and Cosmologyastro-ph.COAstrophysics and AstronomyWe 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 significant for tensor perturbations, i.e. gravitational waves.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.arXiv:2201.11552CERN-TH-2022-008oai:cds.cern.ch:28006332022-01-27
spellingShingle gr-qc
General Relativity and Cosmology
astro-ph.CO
Astrophysics and Astronomy
Fanizza, Giuseppe
Di Dio, Enea
Durrer, Ruth
Marozzi, Giovanni
The gauge invariant cosmological Jacobi map from weak lensing at leading order
title The gauge invariant cosmological Jacobi map from weak lensing at leading order
title_full The gauge invariant cosmological Jacobi map from weak lensing at leading order
title_fullStr The gauge invariant cosmological Jacobi map from weak lensing at leading order
title_full_unstemmed The gauge invariant cosmological Jacobi map from weak lensing at leading order
title_short The gauge invariant cosmological Jacobi map from weak lensing at leading order
title_sort gauge invariant cosmological jacobi map from weak lensing at leading order
topic gr-qc
General Relativity and Cosmology
astro-ph.CO
Astrophysics and Astronomy
url https://dx.doi.org/10.1088/1475-7516/2022/08/052
http://cds.cern.ch/record/2800633
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