Linked Questions

7 votes
2 answers
804 views

Why isn't invariant notation common?

In principle, one can write quantities in a manifestly invariant - rather than covariant - fashion in e.g. special relativity. For example, rather than writing just $x^\mu$, we could write the basis ...
innisfree's user avatar
  • 15.3k
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, ...
3 votes
1 answer
1k views

Rigorous Physics Books on Classical Mechanics

I'm a mathematician that would like to read some books of physics. However, trying to read some texts I'm getting confused many times because the lack of mathematical rigor, at least at a formal level....
1 vote
1 answer
493 views

Mathematical description in GR

I have heard a phrase somewhere, which can be reduced to the following two points: 1) There exists a handy and underused mathematical apparatus applicable to GR, comparing to which tensor calculus is ...
Alexey Bobrick's user avatar
1 vote
3 answers
224 views

Technical question about 2-forms

A technical question about the electromagnetic tensor, but before that, it is know if, say, instead of being $$F_{\mu\nu}=\partial_{\mu}A_{\nu} - \partial_{\nu}A_{\mu}$$it were $$F_{\mu\nu}=(...)_{\mu\...
beyondtheory's user avatar
2 votes
0 answers
179 views

Book Recommendation on Math needed for General Relativity

Today, I had to do an exercise that talked about conformal geometry and after spending a ridiculous amount time searching for it in General Relativity books I couldn't find it. In books like Ray D'...
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 ...

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