The linear stability of the Schwarzschild spacetime in the harmonic gauge

The linear stability of the Schwarzschild spacetime in the harmonic gauge

by Pei-Ken Hung

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In this thesis, we study the odd solution of the linearlized Einstein equation on the Schwarzschild background and in the harmonic gauge. With the aid of Regge-Wheeler quantities, we are able to estimate the odd part of Lichnerowicz d'Alembertian equation. In particular, we prove the solution decays to a linearlized Kerr solution except for the angular mode l=2.

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