- Physics 7720 -

General Relativity

Fall 2014

General Relativity

Fall 2014

Homework

Hint for problem 1: Remember that we are always free to choose our coordinate system in the most convenient way in GR. Even when we are in a sitution where we're looking at perturbations on flat space, since the equations are all written in covariant form, there is an arbitrariness in the choice of coordinates. This arbitrariness is calledgauge freedom. You have four coordinates to fix, so you can impose four conditions on the metric perturbations. A good choice will end up being the Lorenz Gauge:

Note that this is a condition on the perturbation, not thetrace-reversedperturbation.

You can start working on this, with the help of your book. Monday is a holiday, but by the end of Wednesday's class we will have covered the relevant material.

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