On the light ray transform of wave equation solutions

2019/12/05 by András Vasy, Yiran Wang, Vasy, András +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Numerical methods in inverse problems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1912.02848

openalex publication_date 2019/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the light ray transform on Minkowski space-time and its small metric perturbations acting on scalar functions which are solutions to wave equations. We show that the light ray transform uniquely determines the function in a stable way. The problem is of particular interest because of its connection to inverse problems of the Sachs-Wolfe effect in cosmology.

Citations

• Primordial Gravitational Waves and Cosmology
• On the inverse problem of finding cosmic strings and other topological\n defects

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