General Relativity: Core Applications in Astrophysics and Cosmology

How does gravity shape the very fabric of our universe? While general relativity can seem intimidating, its applications reveal the mechanics behind the cosmos's most extreme phenomena. This text-only course demystifies the practical applications of general relativity, guiding you from foundational space-time concepts to modern discoveries in astrophysics and cosmology. What you'll learn: Understand the foundational mathematics and physical principles of Einstein's field equations; Explore the geometry of black holes and the physics of the event horizon; Analyze gravitational lensing and how it allows astronomers to map dark matter; Study the propagation and detection principles of gravitational waves in modern astrophysics; Examine cosmological models that describe the expansion and history of the universe; Apply general relativity concepts to understand GPS satellite time dilation corrections. The course begins with essential definitions of space-time curvature before progressing through classic solutions, black hole mechanics, and modern gravitational wave astronomy. You will read detailed explanations and work through conceptual exercises to solidify your understanding. Designed for science enthusiasts, students, and curious learners, this course requires no advanced physics background to start. Begin your journey into the curved geometry of the cosmos today.