GR: Chapter 2. The Metric Tensor.

Chapter 2 Notes (pdf)

YouTube Videos for the Chapter are below.

GR2-1. Differential Line Elements

GR2-2. Arc Length

GR2-3. The Curvature of a Line

GR2-4. The Curvature of a Surface

GR2-5. The Metric Tensor

GR2-6. Raising and Lowering Indices

GR2-7. The Contravariant Metric Tensor

GR2-8. Contraction













  









































































doctorphys


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This website was launched in late November 2015, which marked the 100th Anniversary of Einstein arriving at his field equations.

The above equations are basic to Einstein's General Theory of Relativity. Welcome to our course to understand these equations. This website is for anyone who has a reasonably strong background in calculus up through partial derivatives and integration.

Our approach will take detours through peripheral topics at times. This roundabout approach serves two purposes: 1)it allows us to proceed slowly for undergraduates and 2)it affords us an opportunity to cover important foundational mathematical physics important to many areas of physics and engineering.

Chapters

GR-01-01.pdf

Next Lesson Tentatively Planned for December 30, 2015