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0 votes
2 answers
339 views

Light-like normal vectors

Can someone please show me how to mathematically establish that the normal vector to the event horizon of a Kerr Black Hole is light-like?
Souradeep's user avatar
1 vote
1 answer
176 views

Rotating Black Holes

All stars rotate. And the more they contract the faster the rotation, so is there such a thing as a non-rotating black hole? And as gravity is less at the equator of a rotating star, assuming that ...
Michael Walsby's user avatar
1 vote
3 answers
187 views

How can time go in different directions in the Universe?

This is not a duplicate, I am not asking about any kind of time dilation caused by a BH. My question is about the direction of time (and if it is possible to have different directions for time, other ...
Árpád Szendrei's user avatar
5 votes
2 answers
308 views

What is the formal difference between the light cone and a black hole?

A black hole can be loosely defined as a spatial closed surface from which nothing, not even light, can leave. The light cone of special relativity is in some sense similar to a black hole because by ...
AoZora's user avatar
  • 1,874
21 votes
3 answers
6k views

How does the Penrose diagram for a spinning black hole differ in realistic scenarios (formed by stellar collapse)?

The Penrose diagram for a non-spinning Schwarzschild black hole is Notably, there is a second universe "on the other side" of the black hole. However, actual black holes form by stellar collapse, and ...
user1379857's user avatar
  • 11.6k
0 votes
1 answer
89 views

Time direction in the BH parallel exterior region

In the III region of the maximally extended Schwarzschild solution, described in the Kruskal coordinates , Sch. time runs in the reversed direction as compared to the I - event horizon III-II of the ...
Thela Hun Ginjeet's user avatar
1 vote
3 answers
203 views

Could you escape a black hole - using a black hole? [duplicate]

I'm pretty sure the answer to the question in title is "No". But why? Below is a naive Newtonian simulation I made. You can see that in the animation, both black hole's horizons seem to "recede" for ...
Tomáš Zato's user avatar
  • 3,107
4 votes
1 answer
381 views

Is the Taub-NUT solution stationary?

The Wikipedia article about the Taub-NUT spacetime says that it was a first attempt in finding the Kerr solution. Since the Kerr spacetime is a stationary solution, meaning that it admits an ...
Nanashi No Gombe's user avatar
1 vote
0 answers
60 views

How come no information can travel faster than light when we can measure a black hole's mass? [duplicate]

So I learned about the Schwartzchild radius, which is the radius of an object's event horizon. But how we define an event horizon is that it's a region of space where the gravitational acceleration ...
TheOrbitHeart's user avatar
1 vote
1 answer
334 views

Is there a general definition of a causal horizon?

In the Schwarzschild spacetime with metric in standard Schwarzschild coordinates $$ds^2=\rho(r)dt^2-\rho(r)^{-1}dr^2-r^2d\Omega^2,\quad \rho(r)=1-\dfrac{2GM}{r},$$ we have a coordinate singularity ...
Gold's user avatar
  • 36.5k
1 vote
1 answer
1k views

Definition of trapped surface

The definition of a trapped surface in Sean Carroll's "Spacetime and Geometry" is as follows. "A compact spacelike, two dimensional submanifold with the property that outgoing future directed light ...
Khushal's user avatar
  • 1,124
6 votes
2 answers
2k views

Is space becoming time-like inside an event horizon a consequence of our coordinate system?

Is the fact that "space behaves like time" inside an event horizon a consequences of our particular coordinate system? Or is it a universal fact? I am asking based on the statement in this video How ...
Jus12's user avatar
  • 3,423
2 votes
1 answer
494 views

Penrose spacetime diagram for the Schwarzchild solution

Consider the metric corresponding to the Schwarzchild solution. It represents a Non-rotating Black hole. When we want to understand the causal structure of the spacetime we find the null geodesic ...
Khushal's user avatar
  • 1,124
4 votes
2 answers
1k views

Event horizon of a black hole

Except from the mathematical derivation, is there a physical reason of why do we call the event horizon of a black hole a null surface? Is the concept of event horizon being a null surface any how ...
quirkyquark's user avatar
  • 1,222
1 vote
2 answers
247 views

How high can a light-beam (or apple) travel when pointed (thrown) out from the event horizon? [duplicate]

I am a bit confused at the idea that information cannot be sent out from behind the event horizon of a black-hole. Consider the following figure: (source This link) An apple thrown up from the ...
Jus12's user avatar
  • 3,423

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