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  Mode Stability for Gravitational Instantons of Type D

Nilsson, G. (2024). Mode Stability for Gravitational Instantons of Type D. Classical and Quantum Gravity, 41(8): 085004. doi:10.1088/1361-6382/ad296f.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000D-B1FE-D Version Permalink: https://hdl.handle.net/21.11116/0000-000F-2845-7
Genre: Journal Article

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 Creators:
Nilsson, Gustav1, Author           
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematics, Differential Geometry, math.DG,General Relativity and Quantum Cosmology, gr-qc
 Abstract: 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.

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 Dates: 2023-09-072024
 Publication Status: Issued
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 Identifiers: arXiv: 2309.03972
DOI: 10.1088/1361-6382/ad296f
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 41 (8) Sequence Number: 085004 Start / End Page: - Identifier: -