All Questions
Tagged with mathematical-physics general-relativity
126
questions
0
votes
0
answers
64
views
Looking for video courses on general relativity, aimed at a mathematician crowd [closed]
I am a mathematician, working in symplectic geometry.
I am looking for online avalible video recordings of courses in general relativity, which are geared towards an audience of mathematicians.
...
2
votes
1
answer
164
views
(Time-)Orientability in the Language of Fiber Bundles
I'm currently studying spin geometry through Hamilton's book Mathematical Gauge Theory. At a given point, Hamilton considers a pseudo-Riemannian manifold, which I'll take to be Lorentzian in $d=3+1$ ...
- 22.1k
2
votes
0
answers
135
views
Einstein's gravity Lagrangian invariance under the change of differential structure
I came across an article claiming the appearance of singularities in the energy-momentum tensor $T_{\mu \nu}$ as a result of changing the differential structure:
I wonder what symmetry or current (in ...
- 1,268
1
vote
0
answers
75
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 ...
1
vote
1
answer
96
views
Conformal Transformation of Torsion
It is well known that under a conformal transformation, we have
$$\tilde{g}_{\mu \nu}=\Omega^2 g_{\mu \nu}, \; ; \tilde{w}_{\mu}=w_{\mu}-\frac{1}{\alpha} \partial_{\mu} \log(\Omega^2),$$
where $\...
- 689
3
votes
1
answer
143
views
Is the Godel universe Wick rotatable?
Take Wick Rotatability being as the way defined in the article by Helleland:
Wick rotations and real GIT
Is the Gödel universe Wick rotatable according to this definition?
- 1,268
7
votes
2
answers
165
views
Equivalent definition of Hawking quasi-local mass
I actually asked the following question at MathSE but didn't receive any response. My question is really about why the definition (2) below can be derived from the definition (1). Specifically, I don'...
- 159
2
votes
0
answers
73
views
Definition of Asymptotically Flat at Null, Spacelike, and Timelike Infinities
Most books I've looked into discuss asymptotic flatness in general relativity for the null and spacelike case (e.g. Wald), or for the null and timelike case (e.g. arXiv: 1706.09666 [math-ph]), but I ...
- 22.1k
0
votes
0
answers
54
views
Can some of the (timelike) curves which make up a (timelike) congruence be tangent to each other? (Or are they all strictly disjoint?)
A congruence is a useful notion in general relativity, relating mathematcal definition and physical interpretation:
"A congruence (more properly, a congruence of curves) is the set of integral ...
- 4,296
1
vote
1
answer
81
views
Experiment design: can one actually measure the speed of non-local light in curved spacetime
The equivalence principle tells us that in some local neighborhood, every free-falling observer in a general relativistic spacetime will measure the speed of light to be $c$; this literally means at a ...
- 498
1
vote
0
answers
118
views
Prandtl boundary layer equations for two-dimensional steady laminar flow of incompressible fluid over a semi-infinite plate are given by [closed]
Prandtl boundary layer equations for two-dimensional steady laminar flow of incompressible fluid over a semi-infinite plate are given by
jpg
- 11
2
votes
0
answers
182
views
How do I self-study physics at the undergrad level? [closed]
I'm a new physics undergrad worried that I won't be able to learn everything I want at the university I'm going to.
Basically the Institute I'm going to is applied sciences focused, and all electives ...
- 21
3
votes
1
answer
70
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 ...
6
votes
1
answer
240
views
Interacting QFT construction on curved spacetime
As far as I can tell, most of the concrete models considered in (rigorous) QFT on curved spacetime are either free or perturbative. In fact the only construction of an interacting QFT on curved ...
- 233
3
votes
1
answer
96
views
Are there physics models that accurately handle the assumption of having solutions that achieve finite ending times?
Are there physics models that accurately handle the assumption of having solutions that achieve finite ending times?
Intro
Recently I learned on the answers and comments of this QUESTION that the ...
- 93