Gravitational lensing of gravitational waves: Theoretical review and identification with deep learning

Abstract

This master thesis aims at providing a basic understanding of the phenomenon of gravitational lensing of gravitational waves, as well as providing a concrete tool to analyse the data and identify it, namely a neural network. First, the basic concepts of the gravitational lensing effect are introduced. Then, the particular case of the lensing of gravitational waves is investigated mathematically and the results are discussed. Once this concept is understood, a neural network model designed to identify lensed gravitational waves is presented and its performance are discussed. Finally, the importance of detecting this effect is stressed and some improvements of the proposed model are suggested for future works.