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Explore advanced concepts in gravitational wave cosmology through this comprehensive lecture delivered at the Graduate School "ISAPP2025: Gravitational Waves: From Theory to Detection" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the theoretical foundations and practical applications of gravitational waves in cosmological contexts, building upon previous lectures in this specialized series. Learn how gravitational wave observations contribute to our understanding of the universe's structure, evolution, and fundamental physics through detailed mathematical frameworks and current research developments. Examine the intersection of general relativity, cosmology, and observational astronomy as presented by Angelo Ricciardone in this 95-minute academic presentation designed for graduate-level students and researchers in theoretical physics and astronomy.
