Includes differential geometry chapters (8–11, 14) in depth, plus variational principles (Ch. 21).
It sounds like you’re looking for a comprehensive guide to the book by Charles W. Misner , Kip S. Thorne , and John Archibald Wheeler (often abbreviated MTW ). gravitation charles misner
Chapters 1–6, 7–10, 13, 15, 17, 18, 20, 25, 27–29. Goal: Understand black holes, gravitational collapse, and cosmology with minimal math. Includes differential geometry chapters (8–11
Adds chapters 9 (geometry of spacetime), 35 (?) – Actually check: modern readers skip to linearized waves. MTW’s Track 2 is for theory & experiment. 14) in depth