Gravitational lensing by gravitational waves

TL;DR

This paper analyzes how gravitational waves can cause gravitational lensing effects, specifically photon trajectory displacements, and discusses potential observational implications.

Contribution

It provides an analytical calculation of photon displacement caused by gravitational wave pulses, highlighting a novel lensing effect.

Findings

Photon trajectories are displaced by gravitational waves.

Analytical expressions for displacement are derived.

Observational estimations are discussed.

Abstract

Gravitational lensing by gravitational wave is considered. We notice that although final and initial direction of photons coincide, displacement between final and initial trajectories occurs. This displacement is calculated analytically for the plane gravitational wave pulse. Estimations for observations are discussed.