Metric Reconstruction for Generic Black-Hole Perturbations
General Relativity and Quantum Cosmology
2026-05-13 v1
Abstract
Standard (radiation-gauge) metric reconstruction excludes generic sources because it requires a tracefree metric perturbation. We remove this obstruction for perturbations of Petrov type D spacetimes by introducing a traceful radiation gauge. Two first-order transport equations determine the metric trace from the stress-energy tensor, and the remaining metric components follow hierarchically from the Newman-Penrose equations. We illustrate the method for a Schwarzschild black hole with a thin static shell, including a source-supported static completion sector.
Cite
@article{arxiv.2605.11080,
title = {Metric Reconstruction for Generic Black-Hole Perturbations},
author = {Dongjun Li and Nicolás Yunes},
journal= {arXiv preprint arXiv:2605.11080},
year = {2026}
}
Comments
6+7 pages, 1 figure