GENERAL RELATIVITY: A MODERN TEXTBOOK ON Spacetime, Geometry, and Cosmology

Master Einstein's Greatest Theory with Confidence, Clarity, and Mathematical Precision.General Relativity is one of the most fascinating and often most intimidating subjects in modern physics. While many textbooks assume extensive mathematical background or move too quickly through difficult concepts, this book takes a different approach.General Relativity: A Modern Textbook on Spacetime, Geometry, and Cosmology carefully develops every essential idea from first principles, building the mathematics and physical intuition together so readers understand not only how the equations work, but why they describe our universe.Beginning with Special Relativity and Minkowski spacetime, the book progresses naturally through manifolds, tensors, differential geometry, covariant derivatives, curvature, Einstein's Field Equations, gravitational waves, black holes, relativistic stars, and modern cosmology. Each chapter builds on the last, creating a complete learning pathway from foundational concepts to advanced applications.Inside You'll Discover: - Special Relativity developed from first principles- Tensor calculus and differential geometry explained step by step- Clear derivations of Einstein's Field Equations- Schwarzschild and Kerr black holes- Gravitational waves and modern gravitational-wave astronomy- Relativistic stars, compact objects, and gravitational collapse- Modern cosmology, dark matter, dark energy, and the expanding universe- Learning objectives for every chapter- Fully worked examples and extensive practice problems- Chapter summaries, glossary, appendices, formula sheets, and selected solutionsDesigned for upper-level undergraduate students, graduate students, educators, researchers, and dedicated independent learners, this textbook combines mathematical rigor with clear physical insight, making one of physics' greatest theories accessible without sacrificing depth.Whether you're preparing for advanced coursework, graduate study, research, or simply seeking a deeper understanding of spacetime and gravity, this book provides the knowledge, structure, and confidence needed to master General Relativity.Don't just study Einstein's theory. Understand it, apply it, and see the universe through the geometry of spacetime.