Linearized quadrupole waves in general relativity and the motion of test particles

Physics

Scientific paper

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Scientific paper

We write out the explicit form of the metric for a linearized quadrupole gravitational wave in the transverse-traceless gauge. We give a collection of formulas which are useful for testing numerical codes to integrate the full nonlinear Einstein equations. We also show that a test particle initially at rest acquires no energy from a linearized gravitational wave.

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