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Explore the fundamental principles of gravitational wave cosmology in 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 that connect gravitational waves to cosmological phenomena, examining how these ripples in spacetime provide unique insights into the structure and evolution of the universe. Learn about the cosmological implications of gravitational wave detection, including their role in understanding dark matter, dark energy, and the early universe. Discover how gravitational waves serve as a new observational tool for cosmology, complementing traditional electromagnetic observations to create a more complete picture of cosmic evolution. Gain insights into the mathematical frameworks used to describe gravitational waves in cosmological contexts and understand their significance for modern astrophysics and cosmology research.
