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Related papers: Weak lensing induced by second-order vector mode

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Einstein's theory of General Relativity implies that energy, i.e. matter, curves space-time and thus deforms lightlike geodesics, giving rise to gravitational lensing. This phenomenon is well understood in the case of the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Arianna I. Renzini , Carlo R. Contaldi , Alan Heavens

Vector perturbations sourced by topological defects can generate rotations in the lensing of background galaxies. This is a potential smoking gun for the existence of defects since rotation generates a curl-like component in the weak…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 Daniel B. Thomas , Carlo R. Contaldi , Joao Magueijo

This paper discusses the gauge issue touching the gravitational waves induced at the second order by the scalar modes of cosmological perturbations. These waves are known to depend on the gauge used for their calculation. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2023-09-27 Vincent Comeau

Cosmic string wakes produce direct B-mode polarization at leading order in cosmological perturbation theory, as worked out in a previous publication \cite{BDH} in the case of a single string wake. Here we compute the angular power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-28 Robert Brandenberger , Nick Park , Grant Salton

We present a fully covariant and gauge-invariant analysis of linear cosmological perturbations in Energy-Momentum Squared Gravity. Working within the 1+3 formalism, we derive the exact propagation equations for scalar, vector, and tensor…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Peter K. S. Dunsby , Maria-Alexia Caldis , Eduardo Bittencourt

We present the gauge-invariant formalism of cosmological weak lensing, accounting for all the relativistic effects due to the scalar, vector, and tensor perturbations at the linear order. While the light propagation is fully described by…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-11 Jaiyul Yoo , Nastassia Grimm , Ermis Mitsou , Adam Amara , Alexandre Refregier

We derive the evolution equation for the second order curvature perturbation using standard techniques of cosmological perturbation theory. We do this for different definitions of the gauge invariant curvature perturbation, arising from…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-09 Pedro Carrilho , Karim A. Malik

The B modes generated by the lensing of CMB polarization are a primary target for the upcoming generation of experiments and can potentially constrain quantities such as the neutrino mass and dark energy equation of state. The net sample…

Astrophysics · Physics 2011-05-12 Kendrick M. Smith , Wayne Hu , Manoj Kaplinghat

We explore the sensitivity of weak gravitational lensing to second-order corrections to the spacetime metric within a cosmological adaptation of the parameterized post-Newtonian framework. Whereas one might expect nonlinearities of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 R. Ali Vanderveld , Robert R. Caldwell , Jason Rhodes

Second layer scattering descriptors are known to provide good classification performance on natural quasi-stationary processes such as visual textures due to their sensitivity to higher order moments and continuity with respect to small…

Computer Vision and Pattern Recognition · Computer Science 2013-10-07 Michael Eickenberg , Fabian Pedregosa , Senoussi Mehdi , Alexandre Gramfort , Bertrand Thirion

We use numerical simulations to model the effect of seeing and extinction modulations on weak lensing surveys. We find that systematic fluctuations in the shear amplitude and source depth can give rise to changes in the $E$-mode signal and…

Astrophysics · Physics 2009-11-10 Chris Vale , Henk Hoekstra , Ludovic van Waerbeke , Martin White

Inflation produces a primordial spectrum of gravity waves in addition to the density perturbations which seed structure formation. We compute the signature of these gravity waves in the large scale shear field. In particular, the shear can…

Astrophysics · Physics 2009-11-07 Scott Dodelson , Eduardo Rozo , Albert Stebbins

In general relativity (GR), gravitational waves (GWs) propagate the well-known plus and cross polarization modes which are the signature of a massless spin-2 field. However, diffraction of GWs caused by intervening objects along the line of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Charles Dalang , Giulia Cusin , Macarena Lagos

The search for primordial gravitational waves is a central goal of cosmic microwave background (CMB) surveys. Isolating the characteristic $B$-mode polarization signal sourced by primordial gravitational waves is challenging for several…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-23 Eric Guzman , Joel Meyers

This paper explores the physics of second-order gravitational waves (GWs) induced by scalar-tensor perturbation interactions in the radiation-dominated Universe. We investigate the distinctive signatures of these GWs and their detectability…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-04 Pritha Bari , Nicola Bartolo , Guillem Domènech , Sabino Matarrese

Gravity waves (GW) in the early universe generate B-type polarization in the cosmic microwave background (CMB), which can be used as a direct way to measure the energy scale of inflation. Gravitational lensing contaminates the GW signal by…

Astrophysics · Physics 2008-11-26 Uros Seljak , Christopher M. Hirata

We discuss the second order contributions to lensing statistics resulting from the clustering of background sources from which galaxy shape measurements are made in weak lensing experiments. In addition to a previously discussed…

Astrophysics · Physics 2007-05-23 Asantha Cooray

The CMB's B-mode polarization provides a handle on several cosmological parameters most notably the tensor-to-scalar ratio, $r$, and is sensitive to parameters which govern the growth of large scale structure (LSS) and evolution of the…

Astrophysics · Physics 2009-03-20 N. J. Miller , M. Shimon , B. G. Keating

Scalar induced gravitational waves contribute to the cosmological gravitational wave background. They can be related to the primordial density power spectrum produced towards the end of inflation and therefore are a convenient new tool to…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-10 Raphael Picard , Karim A. Malik

Weak gravitational lensing on a cosmological scales can provide strong constraints both on the nature of dark matter and the dark energy equation of state. Most current weak lensing studies are restricted to (two-dimensional) projections,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Dipak Munshi , Alan Heavens , Peter Coles