### Emanuele Berti

Professor, Johns Hopkins University

# Teaching

This page hosts the syllabus, homework assignments, and other relevant information for AS.171.646 (General Relativity).

## Homework

• Homework #1 (due 9/17): PW problems 1.7, 1.5, 1.6, 1.2.
• Homework #2 (due 10/8): PW problems 1.8, 1.12, 1.13, 1.16, 1.15 (up to l=2 is ok); 3.2 (dark matter in the Solar System), 3.3 (mass of the graviton), 3.4 (the Newtonian Carter constant)
• Homework #3 (due 10/29): PW problems 4.1, 4.2, 4.4, 4.8, 4.10, 5.2, 5.3, 5.4, 5.5, 5.7. Hint to solve 4.10: express the action in terms of the four velocity.
• Homework #4 (due 11/19): PW problems 5.9, 5.10, 5.11, 5.12, 5.15. You can use Mathematica, xTensor or Maple for the tensor calculations in part (b) of 5.11, but show me your work! Work out the derivation of Riemann and Fermi normal coordinates.
• Homework #5 (due 12/3): Homework #5 (gauge transformations in linearized gravity, the Schwarzschild metric, and harmonic coordinates).