Charges, complex structures, and perturbations of instantons
Abstract
Hermitian non-Kähler Einstein four-manifolds have a quasi-locally conserved charge associated to spin-lowering via Killing spinors, and corresponding to a parameter of the moduli space. This charge is evaluated for all explicitly known examples of gravitational instantons. Generic gravitational perturbations are shown to admit a closed two-form that measures the perturbation to this charge, generalizing previous Lorentzian results on the linearized mass of perturbed Kerr black holes.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 7
- Publication date
- 1 July 2026
- Language
- EN