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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...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2022
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1088/1475-7516/2022/08/052 http://cds.cern.ch/record/2800633 |
_version_ | 1780972652177915904 |
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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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