# Questions tagged [general-relativity]

For questions about mathematical problems arising from general relativity, the branch of physics which provides and studies the currently accepted geometric description of gravity.

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### A component of Bach tensor

First of all, this question may be more suited for the Math stack exchange site. If anyone finds this question irrelevant here, please feel free to transfer to the relevant site. Recall that in terms ...
• 307
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### Categorical General Relativity

What are some good references for GR from a categorical point of view? This is essentially just a big-list reference request. I'm aware that the subject exists and can do some basic sleuthing to find ...
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### Non-inertial frames of reference in empty space

Imagine that somebody wants to generalize special relativity to non-inertial frames of reference. For example I am going around a point and the metrics of space is non-Euclidean from my point of view. ...
207 views

### Mathematical explanation for connections on gauge bundles in curved spacetime for spinors

I asked this question https://physics.stackexchange.com/questions/820924/is-tetrad-postualte-independent-of-gauge-field Here is what I know, $g_{\mu \nu} = e^{a}_{\mu} e^{b}_{\nu} \eta_{ab}$ and the ...
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### Quasilinear wave equations without (weak) null conditions and conjectures

I have found that most works on quasilinear wave equations require, at least, the (weak) null condition. There are only a few works without this condition, such as "Shock Formation in Small-Data ...
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### Possible obstructions to global Wick-rotation in distinguishing spacetimes

Take the time-orientable $3+1$ dimensional spacetime $(M,g)$ that is locally Wick-rotatable at any arbitrary point $p \in M$ to a Riemannian manifold $(N,h)$. Local Wick-rotatability of $(M,g)$ ...
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1 vote
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### Are causally isomorphic spacetimes Wick-related?

Take the time-orientable spacetimes $(M_1,g_1)$ and $(M_2,g_2)$ that are locally(to be clarified below) Wick-related and both are globally Wick-rotatable(to be clarified below) to the same Riemannian ...
• 612
370 views

### Does there exist an electromagnetic analogue of Einstein's field equations?

This will look like a physics question but it doesn't have anything to do with reality so its a vague math question if anything. I recently learned about gravitoelectromagnetism which describes an ...
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1 vote
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