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gr-qc2019★ 4 cited
The linear stability of the Schwarzschild spacetime in the harmonic gauge: even part
Pei-Ken Hung
In this paper we study the even part of the linear stability of the Schwarzschild spacetime as a continuation of [22]. By taking the harmonic gauge, we prove that the energy decays…
gr-qc2018★ 4 cited
Linear Stability of Higher Dimensional Schwarzschild Spacetimes: Decay of Master Quantities
Pei-Ken Hung, Jordan Keller, Mu-Tao Wang
In this paper, we study solutions to the linearized vacuum Einstein equations centered at higher-dimensional Schwarzschild met- rics. We employ Hodge decomposition to split solutio…
gr-qc2017★ 20 cited
Linear Stability of Schwarzschild Spacetime: Decay of Metric Coefficients
Pei-Ken Hung, Jordan Keller, Mu-Tao Wang
In this paper, we study the theory of linearized gravity and prove the linear stability of Schwarzschild black holes as solutions of the vacuum Einstein equations. In particular, w…