Linear Stability of Higher Dimensional Schwarzschild Spacetimes: Decay of Master Quantities

Abstract In this paper, we study solutions to the linearized vacuum Einstein equations centered at higher-dimensional Schwarzschild metrics. We employ Hodge decomposition to split solutions into scalar, co-vector, and two-tensor pieces; the first two portions respectively correspond to the closed a...

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Bibliographic Details
Main Authors: Hung, Pei-Ken, Keller, Jordan, Wang, Mu-Tao
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/131466

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