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arXiv · 1803.03881

The linear stability of the Schwarzschild spacetime in the harmonic gauge: odd part

Pei-Ken Hung
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Abstract

In this paper, 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 at rate $τ^{-1+δ}$ to a linearlized Kerr solution.

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Pei-Ken Hung. 2018-05-25. The linear stability of the Schwarzschild spacetime in the harmonic gauge: odd part. https://arxiv.org/abs/1803.03881

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