Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime

Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime

We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach. We will show that the existing decay results for the solutions of the Regge–Wheeler and Zerilli equations obtain...

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Veröffentlicht in:Annals of global analysis and geometry 2021-10, Vol.60 (3), p.589-608
1. Verfasser: Pham, Truong Xuan
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Differential Geometry
Geometry
Global Analysis and Analysis on Manifolds
Gravitational fields
Linearization
Mathematical Physics
Mathematics
Mathematics and Statistics
Relativity
Scattering
Spacetime
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Zusammenfassung:We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach. We will show that the existing decay results for the solutions of the Regge–Wheeler and Zerilli equations obtained recently by Anderson et al. (Ann. Henri Poincaré 21:61–813, 2020) are sufficient to obtain the conformal scattering.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-021-09789-y