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1 vote
1 answer
172 views

Time dilation for different observer in black hole metric

If I have a 2d Schwarzschild metric $$ dS^2 = -(1-\frac{r_s}{r})dt^2 + \frac{dr^2}{1-\frac{r_s}{r}} $$ I want to find the relation between the time of an asymptotic observer $t$ and the proper time of ...
Physics Koan's user avatar
12 votes
2 answers
2k views

How do we know the assumptions of the Schwarzschild solution are valid?

The Wikipedia article on the derivation of the Schwarzschild solution (https://en.wikipedia.org/wiki/Derivation_of_the_Schwarzschild_solution) lists 4 assumptions. The second of which is: A static ...
aepryus's user avatar
  • 1,011
0 votes
2 answers
157 views

Is time dilated for objects that make a close orbit around (massive) bodies?

I understand that, according to general relativity, matter warps space-time in such a way that the 3-dimensional projection [in space] of the geodesic of an object subject to no forces looks like ...
FlankMe's user avatar
2 votes
2 answers
262 views

How do I deal with the radius-coordinate of the schwarzschild-metric in this numerical problem?

It is well known that if a black hole fulfills certain conditions, it's tidal forces will rip incoming objects apart even before they cross the event horizon. So at some point, the curvature of space ...
MegAmaNeo1's user avatar
1 vote
1 answer
259 views

What is the equation for gravitational time dilation? [closed]

I have been studying relativity for a while now, but I am still unsure what the equation is to determine a gravitational time dilation. I am more than aware of the speed time dilation equation, but I ...
Xenotice's user avatar
0 votes
1 answer
68 views

What determines intensity + range of a gravity field?

Related questions.. How does the Sun's gravity extend out millions of miles to influence the far reaches of our solar system? Reference: movie - "Interstellar", 2014 Nolan) / How does a ship ...
spaceface's user avatar
0 votes
1 answer
59 views

Visualization of object falling into black hole from the perspective of a distant observer

There exist a few relativistic renderings, even videos of this kind of event from the perspective of the infalling object, yet I have never seen the same event from the perspective of a distant ...
2080's user avatar
  • 347
1 vote
0 answers
28 views

Can one observe a blackhole grow from outside its event horizon? [duplicate]

For an observer outside Black hole's event horizon nothing ever falls into the black hole . So if the observer waits for an eternity outside a super massive blackhole feeding on gas , will the ...
user1062760's user avatar
0 votes
1 answer
243 views

For a distant observer can a black hole form and grow in finite time? [duplicate]

Consider an observer at a significant distance away from a collapsing star. As such when a singularity is born at the core of the star the observer would never see it grow anymore than the ...
user1062760's user avatar
4 votes
0 answers
82 views

Energy of background radiation while falling into a black hole

As you fall into a black hole, the old story is you would be spaghettified - and this question is not about that. However passing of time would be warped, so you would see the future of the universe ...
frodeborli's user avatar
0 votes
1 answer
667 views

Time Dilation inside a massive body [closed]

First, I know this is related to the previous question Time inside a Black hole, but my focus here is more hypothetical. The equation of time dilation stands for: $$t_{0}=t_{f}{\sqrt {1-{\frac {2GM}{...
Esdras Caleb's user avatar
2 votes
1 answer
275 views

Can you shine a laser on an object that has fallen into a black hole? [duplicate]

I've been having a small back and forth on another website about the nature of objects that fall into black holes. I know that they never reach the event horizon from the perspective of a distant ...
G3n0c1de's user avatar
4 votes
2 answers
337 views

What are the photon/electron consequences of matter in a gravitational time dilation?

So I saw the movie Interstellar, and it got me thinking. I won't even mention all the plot holes, but I wanted to ask about a planet orbiting a black hole. I always thought you had to travel near the ...
Chloe's user avatar
  • 213