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0 votes
1 answer
150 views

Black holes, singularities and topology in relativity

General relativity is defined on a base manifold which, viewed as a topological space, is simply connected (which means there's no holes). However, we know that inside a black hole there's a ...
Tomás's user avatar
  • 309
5 votes
4 answers
465 views

Topologically, is a curvature singularity just a hole?

Topologically speaking, a hole can be introduced into a manifold and it will still be a manifold, e.g. remove points within a 2-sphere of some radius from the cartesian plane and you'll still have a ...
Daddy Kropotkin's user avatar
3 votes
3 answers
1k views

Does the physical singularity of the Reissner-Nordstrom metric have a ring structure?

The physical singularity of the Kerr metric has a ring structure due to the axi-symmetric nature of the metric. The Reissner-Nordstrom metric is the solution for a non-spinning, electrically charged ...
Daddy Kropotkin's user avatar
4 votes
0 answers
221 views

Merging black holes: from two singularities to a ring singularity?

In rotating black holes, the singularity is believed to be a ring or torus, unlike the single-point singularity of a non-rotating black hole. Topological change - Imagine we have two distant black ...
Roger's user avatar
  • 71
2 votes
1 answer
66 views

Black hole atlases

What sort of atlases of spaces that contain a black hole (that is, including the space inside the event horizon), if any, are there? Does the central singularity have to be excluded? Are there atlases ...
Acccumulation's user avatar
7 votes
2 answers
789 views

What are the topological properties of a Schwarzschild black hole, and of its horizon and singularity?

What is the topology of a black hole spacetime? What about its horizon and its singularity?
user avatar
3 votes
2 answers
347 views

What is the singularity of an actual collapsing black hole?

In most general relativity texts, the singularity is treated as a point removed from the manifold, to avoid having to deal with the infinite curvature of the Ricci scalar. But in the case of a more ...
Slereah's user avatar
  • 16.5k
1 vote
1 answer
405 views

Is a black hole really a hole in space? [closed]

What if when a supernova occurs, instead of it condensing into a singularity it creates enough force to tear a hole into the fabric of space? Is a black hole just what is sounds like, a hole in space?
young_griff1452's user avatar
10 votes
3 answers
14k views

What is the shape of a black hole?

I was thinking; what shape does a black hole have?. By 'Shape', I mean its form (e.g, circle , cylinder, sphere, torus, etc..). We usually think of black holes as if they're plugholes (e.g, a flat ...
AStopher's user avatar
  • 235
8 votes
1 answer
3k views

Geometry inside the event horizon

I'm trying to understand intuitively the geometry as it would look to an observer entering the event horizon of a Schwarszchild black hole. I would appreciate any insights or corrections to the above. ...
diffeomorphism's user avatar