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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 ...
UnkemptPanda's user avatar
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 +...
Boreanaz's user avatar
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 ...
miguelification's user avatar
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 ...
Thatpotatoisaspy's user avatar
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 ...
AoZora's user avatar
  • 1,874
-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 ...
jboy's user avatar
  • 595
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 ...
abstract's user avatar
  • 502