Hey,
I don't mean how wide the black hole looks from the outside, but rather… how long could a photon travel at the speed of light beyond the event horizon if it were moving directly toward the center? So, how much "stretched" space is there?
Surely that can be calculated? At least hypothetically, assuming there's even something like a center and "space" in that sense.
Let’s take tone 618 as an example.
greeting
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to ask how much “space” in a black hole is not much sense, since this depends on the definition of the 3-diemnsional “space” (which is not clear in a 4-dimensional space time).
in the naive model of an ever-existent black loch, one could say that the space in it is large, since behind the event horizon the time coordinate becomes spatial and the radial space coordinate becomes time-like.
that is another question.
but this also depends of course on your coordinate system. is already so in a flat space.
an invariant size (and thus physically and not merely co-ordinate-dependent) would be the question of the spatial length of a world line within the event horizon, that is to say the actual time along this world line.
for a photon this is of course by definition exactly zero, for a time-like world line you can approach as a lower limit zero as desired close, but there is an upper limit. that’s the closest to your question. that is the maximum longer of a time-like world line within the event horizon, i.e. the maximum time a observer can experience there.
I don’t know the result by heart now, I can search you out later if you want. in any case, it corresponds to an observer who is at the event horizon in rest (of course only thought as limes because this is not possible), and can fall from there in free fall into the black hole
tau_max = G*M*pi/c3 = Rs*pi/(2*c)
(for a black shield black hole, what else I can’t count)
When I see it correctly, one assumes that in the center is a singularity. These are infinitely dense.
Much. I’ve read about a black hole to be as big as our solar system.
TON 618 has a diameter of 1,300AU
https://en.wikipedia.org/wiki/Ton_618#:~:text=In%20the%20case%20of%20Ton,size%20of%20the%20Milky%20Way.
There’s a lot to fit in, so you look outside.
But I’m talking about the “place” inside the black hole, there is (sollt) a lot more than the outer diameter. That’s exactly what I’m talking about.
Or is the “edge” always removed from the inside with speed of light?
I can’t escape my light from the edge because it moves “only with c”, so the space moves “faster than c”? If that’s the case, there’s a lot of space in every black hole, right?
But yes, I’m sure someone can reckon, I’m just sorry not because I don’t know how mathematics works there 😀
I mean, there’s the coordinate system itself. I only know the static version… Cartesian coordinate system.
Greeting