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arXiv · 2601.11101

Gravitational perturbations of nonlocal black holes

Rocco D'Agostino·Vittorio De Falco
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Abstract

We derive the master equations governing axial and polar gravitational perturbations of a generic static and spherically symmetric black hole spacetime within the framework of the revised Deser--Woodard nonlocal gravity theory. We then apply our general formalism to a one-parameter family of black hole solutions recently obtained by the present authors, representing small first-order deviations from the Schwarzschild geometry. We provide well-motivated arguments that allow us to render the analysis analytically tractable. Our results provide the first complete perturbative characterization of nonlocal black holes and lay the groundwork for future investigations.

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Rocco D'Agostino, Vittorio De Falco. 2026-01-16. Gravitational perturbations of nonlocal black holes. https://doi.org/10.1103/6k6v-npkl

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