The final exam will be a twenty-four hour take-home final, from noon March 10th to noon March 11th.

• Problem Set One, due 19 Jan
• Problem Set Two, due 26 Jan
• Problem Set Three, due 2 Feb
• Problem Set Four, due 9 Feb
• Problem Set Five, due 16 Feb
  Since people are wondering: yes, problem 2 is pretty simple. Sorry about that.
• Problem Set Six, due 23 Feb
  Oops: there is a mistake in problem 1, that would distort your calculation of the energy-momentum tensor. The current J^μν is not actually independent of the metric; the thing that is independent of the metric is a two-form K_μν, related to J^μν by J^μν = (1/2)ε^μνρσ K_μν. Because of the inverse of the square root of the metric determinant in ε^μνρσ, that term does not contribute to the energy-momentum tensor at all.
• Problem Set Seven, due 2 March
  There's a sign error in the problem set; should be a minus in front of Lambda on the right-hand side.
  Also, problem 1b is hard, so here's a hint: two vectors are parallel if their antisymmetrized tensor product vanishes. You can prove this for the Killing vector and the 4-velocity by taking various covariant derivatives of the Killing vector, using hypersurface-orthogonality, the commutator of two covariant derivatives, and Einstein's equation.