V Chernyak, Wei Min Zhang, S Mukamel, J Chem Phys Vol. 109, 9587
(can download here http://mukamel.ps.uci.edu/publications/pdfs/347.pdf )
Eq.(2.2), Eq. (B1) Eq.(B4)-(B6).
When I substitue Eq.(B4)-(B6) into Eq.(2.2), I can not recover Eq.(B1).
Who can give me a reference or hint on
how to write...
Forgive me if I have posted this in the wrong location. I'm trying to reconcile my understanding of spacetime, but am running into a paradox that I'm sure is arising from my own misunderstandings. As you get closer to a black hole, time, with respect to outside observers, begins to slow to a...
Hi all,
I am currently reading a paper and they have this statement in the abstract:
"If the supermassive black hole Sgr A* at the center of the Milky Way grew adiabatically from an initial seed embedded in an NFW dark matter (DM) halo, then the DM profile near the hole has steepened...
Normally a star with a mass several times that of the sun will become a black hole at the end of the lifetime of that star. Can black holes exist with a mass much smaller than that exist? In other words, are black holes with a mass of Jupiter or even Earth exist? Or even much smaller than that...
Does gravity get destroyed in a black hole ? If the Higgs particle creates mass in the universe and higgs are destroyed in a black hole, then the total gravity in the universe must diminish over time , hence the universe expanding ?
Let we have a dielectric with field ##E## inside and with a little hole. I have problem. I get a two different answers on this problem, and I try to understand which one of them correct.
As mentioned in http://www.feynmanlectures.caltech.edu/II_11.html#Ch11-S4 (11.25), the electric field in...
Homework Statement
I am preparing a report on black holes and I recently learned about a phenomenon I was previously unaware of: the photon sphere of a black hole. While reading an article on said occurrence (I have now confirmed this on multiple sources) the photon sphere which is the minimum...
http://www.cnn.com/videos/tech/2015/07/07/black-hole-awakens-erupts-nasa-orig.cnn
8K ly seems awfully close.
the cnn version of the story... is a bit thin o_O
Good morning everyone, I'm Giuliano and I would like to know how light behaves in a black hole and because it can not get out.
More precisely, i understand that light moves in curved space-time format from the black hole, but once passed within swarzchild radius the photon is expected to impact...
I've been working through Leonard Susskind's "The Theoretical Minimum" lecture series (which are a fantastic introduction to the topics covered by the way) and a couple of his comments confused me when he was covering the Kruskal-Szekeres metric/coordinates in General Relativity.
The end of the...
We know that light's speed gets slowed down when traveling through a medium, and the more dense the medium the slower light can travel (of course c remains constant, but it takes longer to travel due to the continuous scatterings, absorbtions and re-emissions).
Inside a black hole, just below...
The dinamic of a light ray in a Schwarzschild' s metric is governed by a lagrangian where the potential is V(x)= a*(1/r)^2-b*(1/r)^3 with a and b positive costants.
The presence of a Lagrangian it means that is possible to apply a first quantization of this sistem; if so which are the...
Hello,
My GCSE class just did a practical investigation into how the width of a Bunsen's air hole affects the temperature change of a beaker of water. The entire class found as expected that the size of the temperature change increased as the hole was opened further, but they all found that...
Hey so i have a naive question that i always had since i was young, but i never really could find an answer to it.
Lets say you have a black hole isolated in a vacuum, in a closed system.
Dark matter is supposed to be a sort of weakly interacting massive particle, which exerts a gravitational...
Homework Statement
Trajectories around a black hole can be described by ## \frac{d^2u}{d\theta^2} + u = \alpha \epsilon u^2 ##, where ##u = \frac{1}{r}## and ##\theta## is azimuthal angle.
(a) By using ##v = \frac{du}{d\theta}##, reduce system to 2D and find fixed points and their stability...
Question!
So Alice falls into a black hole, instead of the volume increasing for the black hole, it actually increases proportional to it's area. Thus one can draw the conclusion that 3 dimensional information can be fully explained by the information encoded on the surface area at the boundary...
What is the size of the singularity?
1. Is it 0 cm?
2. Is it below Planck length?
3. Is "the size of singularity" the wrong question, such as asking "what is the length of 500 celcius"?
What does that mean?
From event horizon all the way, just before, the centre, is vacuum?
And suddenly there...
Hello,
I had a thought about the formation of white holes off of black holes and i wanted to ask if it is possible,
if a massive black hole is surrounded by a lot of matter(a lot of giant stars etc.) and it consumes so much matter that even a aquasar is not sufficient enough in disposing all of...
It is a classic physics problem to calculate how long it would take to fall through a hole that passes through the center of the Earth to the other side, assuming Earth is a sphere with uniform density. I also remember being posed a problem for if you were falling through a hole that passed not...
Dear PF Forum,
In less than 1 second after big bang, baryons were created. And there's asymmetry in it.
Can anyone help me?
1. Is it physically possible for a galaxy made entirely from anti matter?
2. If it's true, is it statistically possible for a galaxy made entirely from anti matter?
If...
I still don't understand this fully. Can someone please explain? I saw a video where an analogy was made, the distant observer is like an accelerating observer in flat spacetime and guy falling in is like an inertial observer, is it just like the coordinates of the distant observer from the...
Hi,
Einstein once showed that if we assume elementary particles to be singularities in spacetime (e.g. black hole electrons), then it is unnecessary to postulate geodesic motion, which in standard GR has to be introduced somewhat inelegantly by the geodesic equation. I don't have access to...
I've read that a stellar-mass black hole has a lifespan on the order of 10^67 years. Does this mean that a clock which is at rest with respect to (and sufficiently far away from) a stellar-mass black hole will tick off 10^67 years before the black hole evaporates? Also, will shell observers...
Hello all, please forgive me if I seem somewhat unaccustomed to this site, I have just registered.
I suffer from an illness called catastrophic thinking syndrome, simply put this means that I turn everything I read into a disaster until I become ill due to anxiety / depression . I recently...
Sorry for a bit of a sci fi question but are anti matter black holes likely, presumably they would need to come from whole antimatter stars in antimatter galaxies? otherwise they would already have destroyed themselves?
this seems like a dumb question but i just can't think of a solution. black holes can suck photons, that's why they are black. but there are charged black holes, and the EM forces is mediated by photons, so how can the mediating photon escape the gravity? also arent the gravitons (i know...
How much electric flux linked with the spherical shell having a hole?(consider the charge is outside the shell)
I knew the flux linked with spherical shell is zero.(because it is closed loop.)
Hello to all !
I wanted to ask a question in this forum. I am french, and I have discussed this topic in a french physics forum, but with no clear conclusion. I hope I'll have another insights in this forum, which seems very well frequented.
I know the underlying subject has been discussed in...
I was thinking today about black holes. I was imagining how they formed a singularity, not mathematically, but physically and I got stuck at the Planck density. It's not a singularity yet and even with the entire weight of the rest of the object on top of it, you shouldn't be able to pack more...
I need to find the vectors for time and radius that describe a space-like 4-acceleration of an observer falling radially into a spherically-symmetric black hole. Previous to this question, the values of the real time derivatives for time and radius were derived to be:
dt/dτ = (1-2m/r)-1
and...
Homework Statement
(a) Show law of mass action.
(b) Find dopant concentration and hole concentration.[/B]
Homework EquationsThe Attempt at a Solution
Part(a)[/B]
Bookwork.
Part(b)
Letting the doping concentration be ##D##, we have:
D = n - p
For ##I = n_{intrinsic} = p_{intrinsic}##, we...
I'm currently teaching a gen ed course called Relativity for Poets. This is the first semester I've taught it, and it's been a ton of fun so far. If anyone is curious, http://www.lightandmatter.com/area3phys120.html is the class's web page with links to the syllabus and lecture notes. The...
The force in the centre of the earth, assuming it was a perfect sphere and the density was the same everywhere, would be zero as the pull from all directions would cancel. Why isn't it like this for a black hole? Surely the forces from each direction should cancel leaving zero resultant force at...
A container is full of water. A hole of cross section area a exists at the wall of the container, x height beneath the surface of water. (So speed would be v = √(2gx). Let's call it v for now). The density of water is ρ.Then why would the force imparted by the water gushing out of the hole on...
A hole in the LHC's vacuum bubble safety argument
One of the four specific risks considered in the most recent official safety review for the Large Hadron Collider (LHC) is the possibility that LHC collisions could trigger a transition to a lower-energy vacuum state. The current review by the...
Would the universe end if you entered a black hole? What I mean by this is that due to time dilation would time elapse so fast for the universe outside the black hole relative to you inside it that all the stars would burn out and all that wouild be left would be other black holes?
I am confused about black hole horizons and such common statements as "light cannot escape from inside the horizon".
The way I currently understand it is as follows :
1. Horizons are always relative to an observer, and what is called "the black hole horizon" is just a shorthand for "the black...
I know white holes probably don't exist, but I'm having trouble understanding how someone outside the white hole would perceive them. My understanding is that they are time-reversed black holes. I've read that nothing can fall into a white hole, that it is repulsive, and that it continually...
As multiple stars would collapse into a black hole, are the electrons shot outwards? Or are they converted into mass with infinite density (what a black hole is right?)
Thanks.
Can anybody guide me what basically is the formula for finding ovality for a circular hole of given dimension and tolerance? I think it would be (Upper tolerance limit + Lower tolerance limit)/2. But not able to find any reference for the same.
Please also give reference for the same if...
How close do you have to be from a black hole to experience noticeable time dilation. I always believed you will not experience noticeable dilation until you are at or in the event horizon is this correct?
Also does rotation/spin of mass such as a planet decrease it's inherent gravitational...
What would happen if there was a supernova explosion near a black hole ? Would it just sit there and absorb all the energy incident on it ? Or would it simply vaporize into elementary particles ? And if it does vaporize, could the remnants give us a clue as to the quantum state of matter inside...