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Exam questions (theory), GW

From IFPA wiki
  1. Derive the wave equation from the Einstein equations in the Lorenz gauge.
  2. Derive the solution of the wave equation in the transverse traceless gauge.
  3. Show that gravitational waves get redshifted.
  4. Give the expression of the gravitational wave far away from a source as a function of the leading multipole moment of the source.
  5. Derive the expression of the chirp mass and of the waveform during an inspiral at the leading order in [math]\displaystyle{ v/c }[/math].
  6. Derive the effect of a gravitational wave on a test mass in the TT gauge.
  7. Derive the effect of a gravitational wave on a Michelson interferometer in the TT gauge.

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