引力散射中守恒定律的证明：尾部效应与剥离的破坏
A proof of conservation laws in gravitational scattering: tails and breaking of peeling
AI总结：
本文提出了一种一致的渐近平坦时空定义，证明了三种反向匹配条件，并将这些身份重新表述为边界双曲面上的渐近守恒定律。
摘要：
我们提出了一种渐近平坦时空的定义，该定义与null无穷大一致，并且与已知的引力散射性质、入射和出射辐射以及与物质的相互作用相容。对于此类时空，我们证明了三个反向匹配条件：一种是所谓的双质量方面，一种是剪切的主导尾部，以及一种非平凡地将时空过去和null无穷大的剥离性质与空间无穷大处的主导尾部和质量方面联系起来的条件。此外，我们将这些身份重新表述为定义在空间无穷大边界双曲面上的渐近守恒定律。
英文摘要：
We propose a definition of asymptotically flat spacetimes that is consistent with both null infinities and compatible with known properties of gravitational scattering, incoming and outgoing radiation, and interactions with matter. For this class of spacetimes, we prove three antipodal matching conditions at spatial infinity: one for the so-called dual mass aspect, one for the leading tail of the shear, and one that non-trivially relates the peeling properties of the spacetime at both null infinities to the leading tail and mass aspect at spatial infinity. Furthermore, we reformulate these identities as conservation and flux balance laws defined on the boundary hyperboloid at spatial infinity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
