Thanks for answering my questions!
Ok, so particle velocity distributions I don't know a lot about either... Plasma follows a Maxwell distribution, though, right? Assuming that, would the plasma somehow stay a mass of protons and electrons or would it eventually split out into two separate...
Ok, so helical - specifically the axis of the helix (does that make sense?) would be in the direction of the magnetic field? Does that likewise mean the plasma would separate out (into an electron cloud and a proton cloud) or does the plasma try to maintain it's composition?
It could experience an additional Lorentz force, q*(v x B) (additional to the forces already experienced by particle-particle interactions)
Are you implying that the electrons and protons will start going in circles in opposite directions?
Because it seems like the plasma might try to expel the external magnetic field from itself, causing currents to counter the external field and keep whatever field it initially had, internally.
Edit: I'm really confused on what will happen, because it seems like it could do so many things and...
So, assume you have a plasma in a vacuum made of an even distribution of 50% electrons and 50% protons all flowing in one direction with low collision frequency. Then you suddenly turn on an external magnetic field and watch what happens. How will the plasma react?
Will the magnetic field...
How does one go about finding what the gravitational time dilation is from the metric? Is it simply t'/t_0=1/\sqrt{g_{tt}}? It seems that could be true for static metrics, but perhaps not more dynamic ones like the Kerr metric. My confusion on this arises on how to treat the time cross terms...
When you pick Engineering Physics the physics classes are pretty standard, but you get to choose which engineering you want to study. I chose computer science, I presume you'll choose aerospace engineering.
I would say it's rigorous, yes. Some of my physics classmates went to places such as...
I have an Engineering Physics degree from Ohio State (2002). I chose Computer Science as the engineering option.
Going to a non ABET accredited program hasn't hurt me one iota, but that is most certainly because I didn't try to get the wheels turning for a PE when graduating. Frankly...
I earned an Engy Physics degree some 10 years ago now. For me, it was essentially a physics degree with an engineering minor. I chose computer science.
As for coursework - I literally took every class the pure physics majors had to take (except a foreign language requirement) plus the...
Ok, I got it. It's so much simpler than I was making it. For some reason it didn't connect to drop an index so I could get the signs to change in the covariant derivative then to the math.
Thank you so much zhentil and RedX!
That was similar to my thought. I was thinking: well, we are only including the things that make this true so what's the point in showing it? As a result, I was thinking it was more of a mathematical question about topology and manifolds and I lacked understanding. In other words, it seemed...
Did I post this in the wrong forum?
Some more info: vectors u and v are parallel transported along a geodesic, the point is to show that the dot product is invariant under parallel transport.
Also, this isn't homework, but it was a question asked on a midterm.
I'm trying to show that \frac{d}{dt}\; g_{\mu \nu} u^{\mu} v^{\nu} = 0 in the context of parallel transport (or maybe not zero), and I'm rather insecure about the procedure. This is akin to problem 3.14 in Hobson's et al. book (General Relativity an introduction for physicists).
As a guess, I...