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.

中文翻译：

---

Schwarzschild 时空线性化重力场的共形散射理论

我们在本文中提供了通过使用保形几何方法获得 Schwarzschild 时空线性化重力场的保形散射理论的第一步。我们将展示最近由 Anderson 等人获得的 Regge-Wheeler 和 Zerilli 方程解的现有衰减结果。(Ann. Henri Poincaré 21:61–813, 2020) 足以获得共形散射。