Metric Reconstruction for Generic Black-Hole Perturbations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917481698820096 |
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| author | Li, Dongjun Yunes, Nicolás |
| author_facet | Li, Dongjun Yunes, Nicolás |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11080 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Metric Reconstruction for Generic Black-Hole Perturbations Li, Dongjun Yunes, Nicolás General Relativity and Quantum Cosmology 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. |
| title | Metric Reconstruction for Generic Black-Hole Perturbations |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.11080 |