Material Detail

General Relativity - Free Graduate-Level Course

A graduate course in general relativity across nine parts and 107 pages, treating gravity as the curvature of spacetime. It builds the tensor calculus first — metric tensors, covariant derivatives, geodesics, the Riemann and Einstein tensors — then the field equations, the Schwarzschild and Kerr solutions and their black holes, gravitational waves, cosmological solutions, and an introduction to numerical relativity. ...

Keywords:: Riemann curvature tensor, derivations, tensor calculus, cosmology, theoretical physics, general relativity, lecture notes, geodesics, numerical relativity, open educational resources, covariant derivative, Einstein field equations, Kerr black hole, gravitation, differential geometry, gravitational waves, Schwarzschild solution, spacetime curvature, metric tensor, black holes

Disciplines:

Science and Technology / Physics / Modern Physics / Relativity

Go to Material

Bookmark / Add to Course ePortfolio

Create a Learning Exercise

Add Accessibility Information

Rate

Add a Comment

Quality

User Rating
Comments
Learning Exercises
Bookmark Collections
Course ePortfolios
Accessibility Info

Report Broken Link
Report as Inappropriate

More about this material

Material Type:: Open (Access) Textbook
Date Added to MERLOT:: September 25, 2026
Date Modified in MERLOT:: September 25, 2026
Author:: Bertrand Mercier des Rochettes, Quantum Proteins Cergy-Pontoise
Submitter:: Bertrand Mercier des Rochettes
Primary Audience:: College Upper Division, Graduate School, Professional
Technical Format:: Website

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Creative Commons:: This work is licensed under a Attribution-ShareAlike 4.0 International