A K Peters/CRC Press
Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.The book contains two intertwined but distinct halves. Designed f
Spacetime Geometry: Spacetime. Symmetries. Schwarzschild Geometry. Rindler Geometry. Black Holes. General Relativity: Warmup. Geodesic Deviation. Einstein's Equation. Cosmological Models. Solar System Applications. Differential Forms: Calculus Revisited. Vector Calculus Revisited. The Algebra of Differential Forms. Hodge Duality. Differentiation of Differential Forms, Integration of Differential Forms. Connections. Curvature. Geodesics. Applications. Appendices. Annotated Bibliography. References.