Do the problems in the order of their difficulty for you.
Mark
very clearly the question # when you begin each one.
(Do not
answer parts of questions in a non-contiguous fashion.)
| # | Problem |
|---|---|
| 1 | (a) Construct the Penrose diagrams for anti de
Sitter space (AdS) and for de Sitter space (deS) in four space-time
dimensions. Explain carefully and in FULL detail all of your
reasoning. (b) Draw on (a repeat of) your Penrose diagram what typical null and timelike paths would be taken by test particles in these spacetimes. What extra could you accomplish if you were a tachyon? (c)* What if a chunk of matter were put into the centre of these spacetimes - how would the gross features of your diagram change? Be qualitative. |
| 2 | |
| 3 | |
| 4 |
Note: problem parts marked with a * are likely tougher.
My office hour exists for explaining GR physics; please feel free to make good use of it. I also encourage students to discuss the general physics behind these questions together, e.g. in a study group. (Your answers must, however, be individual, in accord with principles of academic integrity.)
Note: I've given up on estimating difficulty level... it's clearly
something I'm not so hot at!