Read Carroll Chapter 1: Assigned 1/6. Most of this material should be familiar from past courses on Special Relativity
Read these Carroll sections (Assigned 1/8)
- Section 2.1
- Section 2.2 up to (but not including) the paragraph that starts "these subtle cases" on p57
- Section 2.3 & 2.4
Carroll section 2.5 (Assigned 1/16)
Carroll sections 2.6 and 2.8 (Assigned 2/22)
Carroll section 2.7 (Assigned 1/26) IMPORTANT: I'm not expecting you to work problems using these topics, so feel free to skim this section at whatever level captures your interest. I plan to provide a discussion of closed timelike curves and singularities at a very heuristic level in class on 1/28.
Carroll sections 3.1, 3.2 and 3.3 (Assigned 1/29) Note: Eqns. 3.36 and 3.37 used expressions I'm trying to evade using in this class, but I do hope you will understand the conceptual point being made about antisymmetry.
Carroll sections 3.4, 3.5 and 3.6 (Assigned 2/10)
Carroll section 3.6 (assigned 2/16)
Carroll sections 3.7, 4.1, 4.2 (assigned 2/19)
Carroll sections 3.8, 5.1, 5.3, 5.4, 5.5 and 5.6 (assigned 2/24) I also encourage you to skim section 5.2 to be aware of the results quoted there, but I am not asking you to dig into the proofs offered.
Carroll Chapter 8 (Assigned 3/1). This chapter contains a handful of references to material we have not covered in class (such as conformal diagrams and gravitational lensing material from Chapter 7). Do not feel concerned about skimming/skipping over those parts. I will provide a more focused selection of material on cosmology in the coming lectures.