Kerr black holes and nonlinear radiation memory
Kerr black holes and nonlinear radiation memory
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DOI：
10.1088/1361-6382/ab1187
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发表时间：
2018-11
影响因子：
3.5
通讯作者：
Thomas Mädler;J. Winicour
中科院分区：
文献类型：
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作者：
Thomas Mädler;J. Winicour
克尔度量的克尔-席尔德版本固有的闵可夫斯基背景提供了增强旋转黑洞的定义。有两个 Kerr-Schild 版本对应于传入或传出主零方向。两个相应的 Minkowski 背景及其相关的提升截然不同。这对于引力记忆效应具有重要意义。先前对非旋转史瓦西黑洞向增强态转变的分析表明，只有当最终速度对应于输入明可夫斯基背景的增强对称性时，非线性区域中的记忆效应才与基于延迟格林函数的线性化结果一致。输出闵可夫斯基背景的增强与不存在来自过去零无穷大的输入辐射不一致。我们证明这一结果扩展到克尔黑洞到增强状态的转变，并将其应用于设置两个旋转黑洞碰撞产生的增强记忆效应的上限和下限。
The Minkowski background intrinsic to the Kerr–Schild version of the Kerr metric provides a definition of a boosted spinning black hole. There are two Kerr–Schild versions corresponding to ingoing or outgoing principal null directions. The two corresponding Minkowski backgrounds and their associated boosts differ drastically. This has an important implication for the gravitational memory effect. A prior analysis of the transition of a non-spinning Schwarzschild black hole to a boosted state showed that the memory effect in the nonlinear regime agrees with the linearised result based upon the retarded Green function only if the final velocity corresponds to a boost symmetry of the ingoing Minkowski background. A boost with respect to the outgoing Minkowski background is inconsistent with the absence of ingoing radiation from past null infinity. We show that this results extends to the transition of a Kerr black hole to a boosted state and apply it to set upper and lower bounds for the boost memory effect resulting from the collision of two spinning black holes.