Mode Stability for Gravitational Instantons of Type D
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866916253168304128 |
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| author | Nilsson, Gustav |
| author_facet | Nilsson, Gustav |
| contents | We study Ricci-flat perturbations of gravitational instantons of Petrov type D. Analogously to the Lorentzian case, the Weyl curvature scalars of extreme spin-weight satisfy a Riemannian version of the separable Teukolsky equation. As a step towards rigidity of the type D Kerr and Taub-bolt families of instantons, we prove mode stability, i.e., that the Teukolsky equation admits no solutions compatible with regularity and asymptotic (local) flatness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_03972 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mode Stability for Gravitational Instantons of Type D Nilsson, Gustav Differential Geometry General Relativity and Quantum Cosmology 53C25 We study Ricci-flat perturbations of gravitational instantons of Petrov type D. Analogously to the Lorentzian case, the Weyl curvature scalars of extreme spin-weight satisfy a Riemannian version of the separable Teukolsky equation. As a step towards rigidity of the type D Kerr and Taub-bolt families of instantons, we prove mode stability, i.e., that the Teukolsky equation admits no solutions compatible with regularity and asymptotic (local) flatness. |
| title | Mode Stability for Gravitational Instantons of Type D |
| topic | Differential Geometry General Relativity and Quantum Cosmology 53C25 |
| url | https://arxiv.org/abs/2309.03972 |