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Journal Article

Mode Stability for Gravitational Instantons of Type D

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Nilsson,  Gustav
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2309.03972.pdf
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Citation

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


Cite as: https://hdl.handle.net/21.11116/0000-000D-B1FE-D
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.