Gravitational perturbations of nonlocal black holes

TL;DR

This paper develops the first comprehensive analysis of gravitational perturbations in nonlocal black holes, deriving master equations and applying them to a family of solutions that deviate slightly from Schwarzschild, advancing understanding of nonlocal gravity effects.

Contribution

It introduces a formalism for gravitational perturbations in nonlocal black holes and applies it to new solutions, providing the first perturbative characterization of such objects.

Findings

Derived master equations for axial and polar perturbations.

Applied formalism to a family of nonlocal black hole solutions.

Provided analytical insights into deviations from Schwarzschild geometry.

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.