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.

中文翻译：

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关于波动方程解的光线变换

我们研究了Minkowski时空上的光线变换及其作用于作为波动方程解的标量函数的小度量扰动。我们表明，光线变换以稳定的方式唯一地确定了功能。由于该问题与宇宙学中的Sachs-Wolfe效应的反问题有关，因此该问题特别受关注。