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1 vote
0 answers
77 views

Use of mathematical structure on physics [closed]

I want resources for studying in detail the connection between the mathematical structures of physical theories and said physical theories. For example, i know what a Hilbert space or a principal ...
3 votes
1 answer
71 views

Resources on Post-Einsteinian Results in GR

What are some good books, lecture notes, articles, etc. that can be used as introduction to the landscape of major results in general relativity since Einstein? In terms of the timeline, I'm thinking ...
1 vote
0 answers
33 views

Book on tetrads formalism and tetradic formulation of General Relativity [duplicate]

Could anyone give me some references for mathematicians (coordinates free notation, formalism of fiber bundles etc.) about tetrads, Palatini-Cartan theory, stuff about formulation of GR with tetrads? ...
7 votes
0 answers
690 views

Rigorous treatment of Penrose diagrams

I'm looking for a rigorous exposition of Penrose diagrams (also called conformal diagrams in general relativity. By "rigorous" ("careful" is perhaps a more attractive word) I mean that it should ...
0 votes
2 answers
914 views

How much physics a mathematician needs to know to study GR? [duplicate]

I'm intending to study General Relativity on my own. The thing is, my physics background is not very strong. I know classical mechanics and I know some electromagnetism. I'm familiar with Gauss' law, ...
1 vote
0 answers
162 views

Is there a book that discusses General Relativity in terms of Modern Differential Geometry? [duplicate]

All of the physics books that I've seen which discuss General Relativity do so in terms of coordinates - the tensor calculus - even though the naturally relevant entities are invariant under general ...
56 votes
5 answers
16k views

Mathematically-oriented Treatment of General Relativity

Can someone suggest a textbook that treats general relativity from a rigorous mathematical perspective? Ideally, such a book would Prove all theorems used. Use modern "mathematical notation" as ...