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

Hung, Pei-Ken

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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More About This Work

Academic Units
Mathematics
Thesis Advisors
Wang, Mu-Tao
Brendle, Simon
Degree
Ph.D., Columbia University
Published Here
May 14, 2018