PreprintCC BY 4.0arXiv
Perturbations of a Schwarzschild black hole and Newman-Unti gauge
Abstract
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.
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BibTeX
@misc{mao2026perturbations,
title = {{Perturbations of a Schwarzschild black hole and Newman-Unti gauge}},
author = {Pujian Mao and Baijun Zeng and Kai-Yu Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15730},
eprint = {2609.15730},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15730},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Perturbations of a Schwarzschild black hole and Newman-Unti gauge
AU - Pujian Mao
AU - Baijun Zeng
AU - Kai-Yu Zhang
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15730
UR - https://arxiv.org/abs/2609.15730
AB - 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.
ER -