I went through a quite a lot of posts here but did not find the information I wanted. I'm looking for a beginner / introductory (yet mathematically rigorous) book recommendation for differential geometry / topology required for General Relativity.
I'm perfectly fine (in-fact I like) the so-called dry mathematics books (theorem-proof-theorem). What I need is -
- Very clear definition of Mathematical objects used in GR
- Crisp / rigorous proof in modern notation
I need the book at advanced undergraduate or beginner graduate level. Thanks in advance.