The linear stability of the Schwarzschild spacetime in the harmonic gauge

The linear stability of the Schwarzschild spacetime in the harmonic gauge

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Pei-Ken Hung, MIT
Fine Hall 314

We study the solution of the linearized Einstein equation on the Schwarzschild background and in the harmonic gauge. With the aid of the Regge-Wheeler and Zerilli equations, we estimate the Lichnerowicz d'Alembertian equation. In particular, we show that up to a one dimensional stationary mode, the solution decays to a linearized Kerr solution. This is ongoing joint work with S. Brendle.