Wednesday, January 04, 2012

General Relativity flash-cards using Anki

Anki is a neat spaced repetition system that allows you to maximize memorization efficiency, or something like that. Interestingly, I came across it on the Clojure group, and there are already decks available for learning Clojure. It accepts LaTeX, so I've decided to make a flash-deck of some handy formulas that pop up in General Relativity, because there's enough to learn without forgetting!

(Also, it's handy to have LaTeX snippets someplace semi-permanent.)

Bianchi identity:


Christoffel symbol:


Covariant derivative of a 1-form:


Covariant derivative of a vector:


Covariant form of Maxwell's equations:






0 & -E_{1} & -E_{2} & -E_{3}\\
E_{1} & 0 & B_{3} & -B_{2}\\
E_{2} & -B_{3} & 0 & B_{1}\\
E_{3} & B_{2} & -B_{1} & 0

Riemann tensor:


Properties of the Riemann tensor:





Ricci tensor:


Ricci scalar:


Einstein tensor:


Formulae from Sean Carroll's Spacetime and Geometry: An Introduction to General Relativity

Anki synchronizes with DropBox, but it's a bit involved. When I get my deck synchronized and uploaded, I will post a link to it.


1 comment: said...

Thanks for the link-back Adam!!