All Questions
7
questions
2
votes
0
answers
60
views
Under what circumstances can a 4D singularity occur in General Relativity?
I've tried to find on the literature about 4D (single point) singularities, but most of the theorems about singularities pertain to either space-like or time-like singularities, which always have some ...
0
votes
1
answer
361
views
Angular Deficit of a Conical Singularity
I'm currently studying the Bonnor solution starting with this paper on Black Diholes. The metric is given by :
$$ ds^2 = \left(1-\frac{2Mr}\Sigma\right)^2 \left[-dt^2 + \frac{\Sigma^4}{(\Delta + (M^2 +...
6
votes
2
answers
184
views
Could spacetimes have singular manifolds?
Let's take a spacetime as a pair $(M,g)$ where $M$ is the manifold and $g$ the metric.
I've seen that there exist a generalization of manifolds. This generalization consist in accept singularities in ...
10
votes
3
answers
3k
views
What are the pros and cons of Einstein-Cartan Theory?
As an alternative to General Relativity, I hear that it can avoid the initial big bang singularity as well as the singularities in black holes, so why does it appear to be talked about so little? If ...
2
votes
2
answers
195
views
How to prove the absence of naked singularities?
Suppose we have a static, spherically symmetric solutions of Einstein equations coupled to a certain matter source, and we are able to show that the scalars obtained by the stress energy tensor on ...
-1
votes
1
answer
405
views
Curvature scalars and singularities
Without resorting to the singularity theorems, can we say that there is a singularity at a particular $r=\textrm{constant}$ if the value of the Ricci and Kretschmann scalars get infinitely large at ...
1
vote
2
answers
207
views
Knots and singularities
Can space-time singularities be treated as mathematical knots occurring in dimensions greater than four? I just drew an analogy with knots in one-dimensional strings. When a rubber-band is looped over ...