On finding gravitational waves from anisotropies of the Cosmic Microwave Background

2025/10/28 by Wang, Yiran
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2510.24005

Abstract

The integrated Sachs-Wolfe (ISW) effect describes how photons are gravitationally redshifted, producing anisotropies in the Cosmic Microwave Background. We study the inverse problem and show that primordial gravitational perturbations, in particular their polarizations in the transversally traceless (TT) gauge can be identified from the local observation of the ISW effect.

Citations

• Reconstruction of the observable universe from the integrated Sachs-Wolfe effect
• On the interplay between the light ray and the magnetic X-ray transforms
• Iterative Reconstruction Methods for Cosmological X-Ray Tomography
• Observable imprints of primordial gravitational waves on the temperature anisotropies of the Cosmic Microwave Background
• Microlocal analysis of the light ray transform on globally hyperbolic Lorentzian manifolds
• On the inverse problem of finding cosmic strings and other topological\n defects
• Primordial Gravitational Waves and Cosmology
• Modern Cosmology

Related

• A novel integrated Sachs-Wolfe effect from Early Dark Energy
• Cosmological Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background Radiation
• Lighting Dark Ages with Tomographic ISW Effect
• When Geometry Radiates Review: Gravitational Waves in Theory, Cosmology, and Observation
• An estimate of the local integrated Sachs-Wolfe signal and its impact on cosmic microwave background anomalies