Schwarzschild黑洞的微扰与Newman-Unti规范
Perturbations of a Schwarzschild black hole and Newman-Unti gauge
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中文总结 AI 辅助
本文推导了Schwarzschild黑洞一阶微扰到Newman-Unti规范的完整变换，确定了渐近剪切、质量与角动量方面，并应用于准正则模，发现其总能量和角动量为零而超平移荷非平凡，可用于固定BMS框架。
中文摘要 AI 辅助
本文推导了Schwarzschild时空中一般一阶微扰度规在零无穷远附近级数展开下到Newman-Unti (NU)规范的完整变换。这使我们能够确定微扰场的渐近剪切、质量方面和角动量方面。作为直接应用，我们推导了Schwarzschild黑洞准正则模(QNMs)对应的渐近NU数据。从渐近NU数据得到的QNMs总能量和角动量消失，但经典超平移荷是非平凡的，这可用于在一阶微扰阶固定BMS框架。
英文摘要
In this paper, we derive the complete transformations of a generic first order perturbative metric in Schwarzschild spacetime to the Newman-Unti (NU) gauge in series expansion near null infinity. This allows us to determine the asymptotic shear, the mass aspect and the angular momentum aspect of the perturbative fields. As a direct application, we derive the corresponding asymptotic NU data for quasinormal modes (QNMs) of a Schwarzschild black hole. The total energy and angular momentum of QNMs obtained from the asymptotic NU data vanish but classical supertranslation charges are non-trivial, which can be applied to fix the BMS frame at first perturbative order.
发表机构
- Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University（天津大学理学院物理系联合量子研究中心）
- Institute for Theoretical Physics, TU Wien（维也纳工业大学理论物理研究所）
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