MIT OpenCourseWare
MIT 8.962 General Relativity, Spring 2020
Instructor: Scott Hughes
View the complete course: https://ocw.mit.edu/8-962S20
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx
More on tensors, derivatives, and 1-forms. Contraction of tensor indices; the dual nature of vectors and the associated 1-form found by lowering the vector index.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCWβs YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Source
"Shut up and calculate," wasn't from Feynman, that was David Mermin.
do weed Lol πππππ
When explaining basis one-forms at 25:40, how can we expand like that when we just established the contraction rule as p(A) = A^alpha p_alpha? Don't the upstairs and downstairs indices need to be the same here? how can we have p_beta but A^alpha? To me that seems to imply use of 2 different basis vectors, e_alpha and e_beta, for obtaining the components of A and p respectively.
Did anyone solve the Problem set 1 completely?It should be completed before 4th lecture as indicated in Calender of the course. Couldn't solve even one question completely. I really need help with the problems.
I think I'm stuck on co-/contra- variant indices. They way tensors were explained, for e.g. A mu nu, mu and nu were supposed to be indices, valued t, x, y, or z. But when we must convert between observers, we are not just shuffling the values in a matrix around by swapping indices.
Can someone tell me:
– what is the actual meaning of superscript vs subscript?
– how basis vectors factor into tensors and how to use them to convert?
– what it means when we use indices that don't just stand in for a number because the two vectors have a different basis?
I dont get why use 2 set of basis vectors to get the metric tensor in another reference, what will be that 2 set of basis vector? or is it the same basis vectors twice?
Tensors continued, or as it became known, the 420 lecture π€£
General relaweedity 1:02:37
"One-forms and vectors are basically the same thing."
Mathematician: *twists in despair inside an infinite dimensional space*
there is only english γ γ γ
Where can I get lecture notes?
Respected MIT university professor in India country's MHRD minister ramesh pokhariyal told in corona situation INDIA's biggest exam JEE MAIN and NEET is starting 1st September 2020.but India's majority students says that please our exam conduct after2 months because india's sop is to weak and people not obey social distance and many state in heavy rain. therefore those states in very highly spread poor.and majority peoples exam centre very far like 100km to 300km how can they journey in lockdown state.I request to MIT UNIVERSITY HEAD PROFESSOR please write to email our mhrd minister to exam continue ofter 2 months because corona situation we are very afraid and how can we journey in corona viruses situation this situation very bad and headache situation. Please support domestic India's majority students oppose exame in current situation. Thank you for reading.please as soon possible as reply.
βTaken into account the space of separation!β πππ
Donβt worry, just be entangled and metrically act at a distance. π
Guys, you definitely made my day with these videos!
1:02:36… Well that would be embarrassing if it was put on youtube for the whole world to see……π
What are the entrance requirements for mit physics? And what are the interviews and exams for entrance?
Hi mit can i study at mit in physics for free? Is there any scholarship like that?