Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
General Relativity and Quantum Cosmology
2023-07-26 v3 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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 L. Anderson, P. Blue and J. Wang \cite{ABlu} is sufficient to obtain the conformal scattering.
Keywords
Cite
@article{arxiv.2005.12043,
title = {Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime},
author = {Pham Truong Xuan},
journal= {arXiv preprint arXiv:2005.12043},
year = {2023}
}
Comments
20 pages, 3 firgures