Waves, Nonlinearity and Geometry or How Sergiu Klainerman Has Influenced Generations of Mathematicians
By Jacques Smulevici
Quantum Galilei group as quantum reference frame transformations
By Giulia Gubitosi
By Giulia Cusin
Appears in collection : Theory of Gravitation and Variation in Cosmology / Théorie de la gravitation et variations en cosmologie
In this course I will give an overview of different line of sight and environmental effects that are expected to modify/distort a gravitational wave (GW) signal emitted by an astrophysical source at cosmological distance. After an overview of the state of the art of GW observations, I will review the derivation of the waveform emitted by a binary system of compact objects in a flat background, in the newtonian approximation. I will then consider a cosmological context and introduce the concept of standard siren. Finally I will derive which is the expected distortion of an emitted waveform induced by the presence of peculiar velocities and (strong) gravitational lensing.
Lecture 1 — Gravitational waves–introduction Lecture 2 — Gravitational waves–propagation effects in waveform modeling