Lensing signals from Spin-2 perturbations

Abstract

We compute the angular power spectra of the E-type and B-type lensing potentials for gravitational waves from inflation and for tensor perturbations induced by scalar perturbations. We derive the tensor-lensed CMB power spectra for both cases. We also apply our formalism to determine the linear lensing potential for a Bianchi I spacetime with small anisotropy.

19 pages, 5 figures; v2: discussions about non-linear contributions and quadrupole regularization extended, minor typos corrected, references added, matches published version

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Cited by in corpus (17)

• Impact of post-Born lensing on the CMB
• Maximum a posteriori CMB lensing reconstruction
• The bispectrum of relativistic galaxy number counts
• Testing (modified) gravity with 3D and tomographic cosmic shear
• Gauge-Invariant Formalism of Cosmological Weak Lensing
• Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance
• Vector perturbations of galaxy number counts
• Intensity mapping of the 21cm emission: lensing
• Structure formation in an anisotropic universe: Eulerian perturbation theory
• Bianchi spacetimes as super-curvature modes around isotropic cosmologies
• A new observable for cosmic shear
• Observable cosmological vector mode in the dark ages
• The imprint of primordial gravitational waves on the CMB intensity profile
• An Estimator for the lensing potential from galaxy number counts
• Spatial anisotropies from long wavelength scalar and tensor modes
• CMB line-of-sight integrators for nearly-isotropic cosmological models
• Origin & evolution of the Universe