We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in \({\mathbb {R}}^{1+n}\) for \(n\ge 3\). We prove a uniqueness result for such light ray transforms. More precisely, we characterize the kernel of the light ray transform vanishing near a fixed direction at each point in the time-space domain.

中文翻译：

---

对称2张量场上光线变换的唯一性结果

我们研究\（{\ mathbb {R}} ^ {1 + n} \）在\（n \ ge 3 \）的有界时空域中定义的对称2张量场的光线变换。我们证明了这种光线变换的唯一性。更准确地说，我们描述了时空域中每个点附近固定方向消失的光线变换的内核。