Orateur
Description
The propagation of gravitational waves shares formal similarities with that of light. However, their typically much larger wavelengths render the geometric optics — or eikonal — approximation insufficient when considering propagation in curved spacetime. The purpose of this thesis is to establish a systematic framework that goes beyond this approximation, and to assess its implications for the deflection and magnification of waves passing near a black hole. We begin by examining the case of a scalar wave, before extending the analysis to electromagnetism, and ultimately to gravitational waves, while fully accounting for their tensorial structure.
To understand the basis of the problem and the structure of the equations we first study the case of a propagating scalar field lensed by a point like lens.
In this talk I will present the formalism used and the structure of the equations, along with some numerical results and analytical insights.
