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arXiv · 2605.11080

Metric Reconstruction for Generic Black-Hole Perturbations

Dongjun Li·Nicolás Yunes
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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.

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Dongjun Li, Nicolás Yunes. 2026-05-11. Metric Reconstruction for Generic Black-Hole Perturbations. https://arxiv.org/abs/2605.11080

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