@skillpatrol We should not have to guess additional information that's not in the question. Things that have more than one correct answer are usually in danger of being too broad or primarily opinion-based, though not always
@ChrisWhite Yeah, ok, that works out. Then I suppose twice the pressure?
$\gamma\mathrm{d}A = p\mathrm{d}V$, solve for $\gamma$ for both geometries, equate them, and solve for $p_\text{circ}$.
I would like to have a finite cylinder though, and maybe the longitudinal/radial expansions can be related if we assume that stuff has to stretch the same amount or something (dA/A being equal for all surfaces, maybe).
user54412
@alarge I agree. And yeah, we could probably do something reasonable for the finite cylinder.
Hm...usually, the mods should not damage the actual installation. If you think they have, you can always use "Verify integrity of game cache" under Properties->Local content in Steam
Looking at this question I almost want to make a post about how SRT cannot really be appreciated without GR, but okay
It also makes me sigh and think about my Riemannian geometry test, where we are now, in two weeks, doing Riemannian geometry as a special case of Chern-Weil theory.
Hi, a quick question : in general relativity, can particles go over the speed of light ? I thought not, but I found this sentence is a lecture of Hawking : This means that if a particle is in a small black hole, you know its position fairly accurately. Its speed therefore will be rather uncertain, and can be more than the speed of light, which would allow the particle to escape from the black hole. (I haven't done any GR)
The notion of a particle is ill-defined in curved spacetimes. Therefore, some observers can see a thermal distribution of particles where others see none
So: A typical black hole is in a "vacuum" (i.e. no particles) state with respect to some observer's coordinates which do not coincide with the coordinates of us---observers far away from the black hole.
The change of coordinates induces a change in the notion of particle, so we actually see a thermal distribution of particles.
@Danu clearing things up a bit but obviously I'm still a bit puzzled. Can someone recommend good material I could use to get a good understanding of the problem ? I know it's not something easy, that it might requires a deep mathematical approach and not just a purely factual approach, but I'd like to learn more.
Not much in relativity. I just did a tiny bit of SR two years ago (basically, objects with near-light speeds and stuff) but assume that I should learn that again.
Wot q_q why do you even play it, it's a pretty bad game. It was good when it came out but now ... Quests are pretty much "Go see the duke of ... !" - and you have to travel through the whole map to find that dude. No signs, no arrows etc.