There exist gravitational memory effects in Brans-Dicke theory. They are closely related to the Bondi-Metzner-Sachs symmetries living on the null infinity in an isolated system. By studying the asymptotically flat spacetime in Brans-Dicke theory and the asymptotic symmetries, one discovers that the displacement memory effect in the tensor sector is due to the vacuum transition caused by the null energy fluxes panetrating the null infinity, while in the scalar sector, the vacuum transition is due to the angular momentum fluxes. Together with the spin and the center-of-mass memory effects, the displacement memories are constrained by various flux-balance laws.

中文翻译：

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Brans-Dicke 理论中的引力记忆效应

Brans-Dicke 理论中存在引力记忆效应。它们与孤立系统中零无穷大的 Bondi-Metzner-Sachs 对称性密切相关。通过研究 Brans-Dicke 理论中的渐近平坦时空和渐近对称性，人们发现张量扇区中的位移记忆效应是由于空能通量覆盖零无穷大引起的真空跃迁，而在标量扇区中，真空跃迁是由于角动量通量。连同自旋和质心记忆效应，位移记忆受到各种通量平衡定律的约束。