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

2018/03/11 by Pei‐Ken Hung, Hung, Pei-Ken
Physics and Astronomy · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Experimental and Theoretical Physics Studies #FOS: Mathematics #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1803.03881

openalex publication_date 2018/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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