- 02.29: Homework Assignment #3: Problems 3, 4, and 6 from Chapter 10 in Wald's book, page 268. Due Wednesday, March 9th.
- 02.19: Quiz 3: Monday, Feb 29th. The quiz will include the following question:
Consider a spacelike hypersurface \(\Sigma\) in a spacetime \((M,g)\) and the (future-pointing) unit
normal vector field \(n^a\) at each \(p\in \Sigma\). Show that if we define the tensor hab:=
gab
+ nanb
(the spatial metric on Σ), then at each \(p\in M\) the tensor \(h^a{}_b^~\) is the projection operator from spacetime vectors
TpM onto the subspace tangent to Σ,
or Tp\(\Sigma\), while the tensor \(h_a^~{}^b\) is a similar projection operator from spacetime covectors
T\(^*_pM\) onto T\(^*_p\Sigma\).
- 02.19: Homework Assignment #2: Three problems that can be found here. Due Friday, February 26th.
- 02.15: Quiz 2: Wednesday, Feb 17th, on the parts of Chapter 9 that we have covered. The quiz will include the following question: Show that if a congruence of geodesics is hypersurface-orthogonal, then its vorticity vanishes, \(\omega_{ab} = 0\).
- 02.05: Quiz 1: Monday, Feb 8th, on the parts of Chapter 8 that we have covered.
- 01.29: Homework Assignment #1: Three problems that can be found here. Due Friday, February 19th [new due date].
- 01.22: First Class: As discussed by email with the registared students, the class will meet in Lewis 104, on MWF at 8:00–8:50 am, rather than 9:00–9:50; Our first meeting will be on Monday, January 25th.
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