Skip to main content

All Questions

2 votes
4 answers
188 views

Necessity of Singularity in General Relativity

The Schwarzschild solution is the standard example used to describe a black hole, its important points being the event horizon and the central singularity. But this solution is derived by assuming an ...
38 votes
9 answers
8k views

Why singularity in a black hole, and not just "very dense"?

Why does there have to be a singularity in a black hole, and not just a very dense lump of matter of finite size? If there's any such thing as granularity of space, couldn't the "singularity" be just ...
2 votes
2 answers
136 views

What happens if $ a^2 > M^2 $ in Kerr metric?

(Boyer-Lindquist coordinates and $ c = G =1 $ taken) As I know, line element in Kerr metric $ d s^2 = - \left( 1 - \frac{2Mr}{\rho^2} \right) d t^2 - \frac{4 M a r \sin^2 \theta}{\rho^2} d \phi d t + \...
-1 votes
1 answer
71 views

Can you calculate the radius of a hypothetical singular surface inside a black hole from observing changes to its linear momentum?

Say there is a ball of unknown radius surrounded by a bubble. The ball represents a hypothetical singular surface inside a black hole and the bubble represents the event horizon. If you threw marbles ...
0 votes
3 answers
186 views

Is the size of a black hole singularity smaller than a fundamental particle?

I am wondering about the size of a black hole singularity. We know that a classical black hole is infinitely dense. I am not asking about size of event horizon. I am asking about actual size of the ...
0 votes
0 answers
72 views

Where is the mass in a Black Hole without a "central" curvature singularity?

Not all black holes have a curvature singularity at their center (an example). But in principle, I thought that the curvature singularity was a direct result of the fact that the mass is concentrated ...
2 votes
1 answer
380 views

Understanding the Kruskal diagram for Schwarzschild spacetime

I am studying Kruskal coordinates for my General Relativity course. On the book Spacetime and Geometry: An introduction to General Relativity by Sean Carroll, the author gives the metric in Kruskal ...
0 votes
2 answers
105 views

Realistic black holes

If I understand the answers provided in this Link Why singularity in a black hole, and not just "very dense"? Then the singularity at $r=0$ may just be a mathematical artifact, and may not ...
17 votes
1 answer
1k views

Can a Kerr black hole become super-extremal?

Let's assume there is a large Kerr black hole, which is almost extremal and would become extremal with the addition of a small amount of mass $M$ with spin $J$ to make the final $J=M$. What if this ...
26 votes
10 answers
13k views

How do black holes move if they are just regions in spacetime?

If black holes are just regions of spacetime, how can black holes even move? When matter moves through spacetime, it bends the spacetime around it, but if black holes are just regions of spacetime, ...
5 votes
2 answers
151 views

Is the Schwarzschild singularity a limit of the Kerr singularity?

In a Schwarzschild black hole, the singularity is spacelike. In a Kerr black hole, it is timelike. Is there any continuous transformation between those solutions? Can the Schwarzschild solution be ...
6 votes
2 answers
1k views

What happens to the ring singularities when two Kerr black holes merge?

Imagine two Kerr black holes with ring singularities oriented in different axes (e.g. one horizontal and the other one vertical). If they merge, what will happen to these singularities? Will they form ...
0 votes
1 answer
78 views

What are spinning black holes orbiting?

I have seen depictions of spinning black holes with the "singularity" spinning around a center of rotation in a flat plane, or moving around an imaginary sphere. Is there anything in the ...
3 votes
6 answers
1k views

Singularity of a black hole: point or solid sphere? [duplicate]

A black hole is defined by its event horizon. The event horizon has a Schwarzschild radius of, $$r_s=\dfrac{2GM}{c^2}$$ Technically, this means that any body of mass, $M$, with a radius smaller than ...
0 votes
1 answer
77 views

Regularization of black hole singularities

Hi I have a question: when dealing with the gravitational Lorentz factor from schwarzchild solution to EFE, used in defining gravitaional time dilation and one encounters singularities at $r=0$ or $r=...

15 30 50 per page
1
2 3 4 5
31