标题： 四维闵可夫斯基背景上标量场的经典软引力子定理 显示英文标题

标题： Classical Soft Graviton Theorem due to Scalar Fields on 4-D Minkowski Background

摘要： 经典软引力子定理表达了低频引力辐射的行为。 本文给出了在无质量以及有质量标量场情况下，$4$- D闵可夫斯基背景下的经典软引力子定理的简单证明，且未考虑由于背景扰动引起的标量场和引力应力-能量张量行为的修正。 显示英文摘要

摘要： The classical soft graviton theorem expresses the behavior of low-frequency gravitational radiation. In this paper, simplistic proofs of the classical soft graviton theorem for massless and massive scalar fields on $4$-D Minkowski background are presented without considering the correction to the behavior of scalar fields and gravitational stress-energy tensor due to the perturbation in the background.