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Morawetz estimate for linearized gravity in the Schwarzschild spacetime
时间  Datetime
 
地点  Venue
报告人  Speaker
Jinhua Wang
单位  Affiliation
Xiamen University
邀请人  Host
Fang Wang
报告摘要  Abstract
The equations governing the perturbations of the Schwarzschild metric satisfying the Regge-Wheeler (odd parities) and Zerilli equations (even parities). We prove the energy boundedness, the integrated local energy decay estimate and pointwise decay estimate for both Regge-Wheeler and Zerilli equations. This gives another proof for the linear stability of Schwarzschild metrics. Besides, analysis of symmetry operators yields transformations between Regge-Wheeler and Teukolsky variables. We show that confined to a class of data set, this transformation defines an isomorphism between the Regge-Wheeler and Teukolsky variables, and the decay for Teukolsky varialbe follows from that of Regge-Wheeler variable.