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Results tagged with general-relativity
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user 13972
For questions about mathematical problems arising from general relativity, the branch of physics which provides and studies the currently accepted geometric description of gravity.
18
votes
Accepted
Obtain Lorentzian manifolds from Riemannian ones by Wick rotation
This is a somewhat different take on Igor's answer, and I offer it just in case you are interested.
First, one doesn't need to have any continuous symmetries in order to have this kind of 'Wick rotat …
- 108k
6
votes
Accepted
Are all null curves of a Lorentzian metric extrema?
Actually, your notation is causing some confusion. In one very real sense (probably not your intended one) the answer to your question is yes, not no which is probably the answer to the question that …
- 108k
7
votes
Accepted
What is the meaning of Yang-Mills action evaluated on Levi-Civita connection?
You can find information about functionals that are quadratic in the curvature in Besse's book Einstein Manifolds. In particular, see Chapter 4, Section H and the references cited therein. Your ques …
- 108k
8
votes
Accepted
Holonomy of a Ricci-flat affine connection
The answer depends on the dimension. When $n=2$, Ricci-flatness of a connection implies that it is flat, so, in that case, yes, you get holonomy reduction locally. However, when $n>2$, Ricci-flatnes …
- 108k
9
votes
Is the Gödel universe Wick rotatable?
I may be misreading the sources that you list for the definition of Wick-rotatable, but, I believe that the following construction does fit that definition: According to the Wikipedia page that the O …
- 108k