A self-study reading project to explore the basics of general relativity and the mathematical formalism that underlies it.
"Spacetime and Geometry: An Introduction to General Relativity" by Sean Carroll
"Gravity: An Introduction to Einstein's General Relativity" by James B. Hartle
"An Introduction to Tensors and Group Theory for Physicists" Nadir Jeevanjee
"Geometry, Topology and Physics" by Mikio Nakahara
The talks given in relation to this project are available on the here.
Problem sets and their solutions can be found here.