General Relativity

This book introduces the core concepts of general relativity, Einstein’s groundbreaking theory that describes gravity as the curvature of spacetime. Beginning with the mathematical foundations of tensors and differential geometry, it progresses to the formulation of Einstein’s field equations and their physical implications. Key topics include black holes, gravitational waves, cosmology, and the bending of light in gravitational fields. The book balances mathematical rigor with intuitive explanations, making complex ideas accessible to readers with a background in calculus and classical mechanics. Diagrams and derivations are used throughout to support conceptual understanding. Designed for upper-level undergraduates and beginning graduate students, the book serves as both a teaching text and a reference for those interested in physics, astrophysics, and mathematical modeling. It invites readers to explore one of the most profound and elegant theories in modern science.