Work

Mode Stability of Hermitian Instantons

Year: 2025

Type: article

Abstract: In this note, we prove the Riemannian analog of black hole mode stability for Hermitian, non-self-dual gravitational instantons which are either asymptotically locally flat (ALF) and Ricci-flat, or compact and Einstein with positive cosmological constant. We show that the Teukolsky equation on any such manifold is a positive definite operator. We also discuss the compatibility of the results with the existence of negative modes associated to variational instabilities.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2025.022

Authors: Lars Andersson, Bernardo Araneda, Mattias Dahl, Kungliga Tekniska Hogskolan, Sweden

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Agence Nationale de la Recherche, Centre National de la Recherche Scientifique, Institut Henri Poincaré, Sorbonne Université

Awards: G2879864793, G3375465512, G5058101487, G6363417690, G6389258043, G6453481984, G6505494016, G7240651115, G7342182005, G7376787254

OpenAlex ID: W4409030940

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