Observational constraints on nonlocal black holes via gravitational lensing

TL;DR

This paper investigates gravitational lensing around nonlocal DD black holes, deriving analytical expressions and using observational data to constrain deviations from general relativity.

Contribution

It provides the first constraints on DD black hole parameters using lensing observables and combines these with quasinormal mode data for a comprehensive analysis.

Findings

Results are consistent with general relativity at 1.13 sigma.

Derived analytical deflection angles in weak and strong lensing regimes.

Performed joint statistical analysis to constrain nonlocal gravity parameters.

Abstract

In this paper, we study the gravitational lensing around the static and spherically symmetric DD black holes, which we recently derived as perturbations of the Schwarzschild geometry within the revised Deser-Woodard theory of nonlocal gravity. We first present general analytical expressions for the deflection angle in both weak- and strong-deflection limits, explicitly relating them to the nonlocal corrections to Schwarzschild spacetime. Subsequently, we analyze lensing observables, such as the post-Newtonian effects and the black hole shadow, to constrain the DD black hole parameter space using current observational bounds. Finally, we perform a joint statistical analysis based on the Fisher information matrix, combining these findings with our previously obtained constraints from quasinormal modes. Our results indicate consistency with general relativity at the $1.13\sigma$ level. This work provides a first assessment of the DD parameter space and offers new insights to probe deviations from Einstein's gravity in view of future larger datasets.