Cosmic Shear from Scalar-Induced Gravitational Waves

Abstract

Weak gravitational lensing by foreground density perturbations generates a gradient mode in the shear of background images. In contrast, cosmological tensor perturbations induce a non-zero curl mode associated with image rotations. In this note, we study the lensing signatures of both primordial gravitational waves from inflation and second-order gravitational waves generated from the observed spectrum of primordial density fluctuations. We derive the curl mode for galaxy lensing surveys at redshifts of 1 to 3 and for lensing of the cosmic microwave background (CMB) at a redshift of 1100. We find that the curl mode angular power spectrum associated with secondary tensor modes for galaxy lensing surveys dominates over the corresponding signal generated by primary gravitational waves from inflation. However, both tensor contributions to the shear curl mode spectrum are below the projected noise levels of upcoming galaxy and CMB lensing surveys and therefore are unlikely to be detectable.

5 Pages, 4 Figures, Submitted to PRD

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Cited by in corpus (24)

• Gravitational waves from an early matter era
• Large-Scale Structure with Gravitational Waves II: Shear
• Maximum a posteriori CMB lensing reconstruction
• Full-sky lensing shear at second order
• Full-sky lensing reconstruction of gradient and curl modes from CMB maps
• Lensing of 21-cm Fluctuations by Primordial Gravitational Waves
• Impact of anisotropic stress of free-streaming particles on gravitational waves induced by cosmological density perturbations
• Cosmological matching conditions for gravitational waves at second order
• Weak lensing induced by second-order vector mode
• CMB Constraints on the Stochastic Gravitational-Wave Background at Mpc scales
• Cross-Correlating Probes of Primordial Gravitational Waves
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• Full-sky formulae for weak lensing power spectra from total angular momentum method
• Rotation of galaxies as a signature of cosmic strings in weak lensing surveys
• Emission-angle and polarization-rotation effects in the lensed CMB
• Non-linear relativistic contributions to the cosmological weak-lensing convergence
• Impact of Instrumental Systematic Contamination on the Lensing Mass Reconstruction using the CMB Polarization
• Cosmology with the Square Kilometre Array by SKA-Japan
• Cosmological nonlinear density and velocity power spectra including nonlinear vector and tensor modes
• Scalar induced gravitational waves review
• Observable cosmological vector mode in the dark ages
• Constraining stochastic gravitational wave background from weak lensing of CMB B-modes
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• Weak lensing from self-ordering scalar fields