Nice! Thank you. So I'm assuming you'd recommend reading that between the analysis books and the DG book? Or is topology reasonably independent from analysis? I haven't looked into it too much before.
Oh I get you 100%. I did the mistake of testing out of calculus in undergrad and going...
Sorry to bother you again Ibix, just continuing to get confused on this solution :/ not sure if it's me being rusty or something else. But here, Zee explains how to go from equation (19) with ##u_{min}=0## to the final angle. I understand what he says up until the equation he gets for...
Hi everyone! Hope your week is going well. I'm an ex-physics and math student, now getting my PhD in mathematical biology, and I've recently come back to the subjects because I miss them and feel like it'd be fun to get proficient in some of this again. I've been mostly working on building my...
Oh yeah of course—the escape velocity is by definition the velocity the particle needs to reach infinity at 0 energy, so being faster than the escape velocity implies an open orbit. Fair enough!
Yeah not your fault no worries, I confused everyone in this post haha ok that all makes sense. For...
Infinity! Yeah, that part makes sense. I guess I don’t know how to explain why we expect the orbit of the light to be open from Newtonian terms only. But even then, I guess the thing that tripped me up the most here was the ##r_{min} < 0## part. I guess it’s not essential to the final solution...
The extract is to give background to what Zee references in the solution to the question as equation 19. The question about the deflection of light by the sun is question 3 of this chapter--I didn't post a specific picture because that's effectively the extent of the question, "Calculate the...
Thanks! Will do. The equation in question is here, in page 30 of Zee's Einstein Gravity in a Nutshell. In his solution in page 793, he starts "We could still use (19) except that the root ##r_{min}## is now negative, which is not physical since ##u = 1/r > 0##. A moment’s thought indicates that...
Thank you. It seems like I can't edit that post, but I'll make sure to remember that for the future. I guess the equations I mentioned would be ##r_{min} < 0##, and ##u_{min} = 1/r_{max}##.
Hi everyone! Hope your day is going well. I’m an ex-physics student who recently wanted to go back to studying the subject (as a hobby, mostly). So I picked up Zee’s GR book since GR is the thing I’m the most interested in. I expected to hit a wall on some basic things since I’m rusty, and did...
Hey all! My name’s Bruno. I was a physics major for 2 years in undergrad, ended up switching to applied math and starting to do research in bio and now am a second year PhD student in mathematical evolutionary biology.
I’m still really interested in physics though, especially general relativity...