Time delay in the Einstein-Straus solution

TL;DR

This paper calculates the time delay in strong gravitational lensing using the Einstein-Straus solution and compares it to observational data from a specific lens system.

Contribution

It introduces a novel application of the Einstein-Straus solution to compute lensing time delays and compares theoretical predictions with observational bounds.

Findings

Theoretical time delay estimates are consistent with observational bounds.

The Einstein-Straus model provides a viable framework for strong lensing time delay calculations.

Results support the use of the Einstein-Straus solution in gravitational lensing studies.

Abstract

The time delay of strong lensing is computed in the framework of the Einstein-Straus solution. The theory is compared to the observational bound on the time delay of the lens SDSS J1004+4112.