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  • Open Access

Gravitational perturbations of nonlocal black holes

Rocco D’Agostino1,2,* and Vittorio De Falco3,†

  • *Contact author: rocco.dagostino@inaf.it
  • †Contact author: v.defalco@ssmeridionale.it
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Phys. Rev. D 113, 044029 – Published 10 February, 2026

DOI: https://doi.org/10.1103/6k6v-npkl

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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Phys. Rev. D 113, 044029– Published 10 February, 2026
  • Received 2 December 2025
  • Accepted 15 January 2026
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