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

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.

Identiferoai:union.ndltd.org:columbia.edu/oai:academiccommons.columbia.edu:10.7916/D8GQ8F4T
Date January 2018
CreatorsHung, Pei-Ken
Source SetsColumbia University
LanguageEnglish
Detected LanguageEnglish
TypeTheses

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