High Frequency Gravitational Waves and Einstein Equations with U(1) Symmetry

Explore a lecture on high-frequency gravitational waves and Einstein equations with U(1) symmetry, presented by Cécile Huneau from Ecole Polytechnique at the Institut des Hautes Etudes Scientifiques (IHES). Delve into two significant works by Yvonne Choquet-Bruhat: her 1969 study on high-frequency gravitational waves, which illuminates the elegant structure of Einstein equations, and her later research on global existence of cosmological solutions with U(1) symmetry, introducing the elliptic gauge. Discover Huneau's collaborative work with Jonathan Luk, examining high-frequency solutions of Einstein equations with U(1) symmetry and the advantages of using the elliptic gauge to study wave superposition. Gain insights into the evolution of gravitational wave research and its implications for understanding Einstein's equations in various contexts over the course of this hour-long presentation.