2018 Theses Doctoral

# 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.

## Files

- Hung_columbia_0054D_14580.pdf application/pdf 491 KB Download File

## More About This Work

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