Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime

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.

20 pages, 3 firgures

References in corpus (1)

• Peeling of Dirac fields on Kerr spacetimes

Cited by in corpus (5)

• A Scattering Theory for Linearised Gravity on the Exterior of the Schwarzschild Black Hole I: The Teukolsky Equations
• Conformal scattering theory for the Dirac field on Kerr spacetime
• Cauchy and Goursat problems for the generalized spin zero rest-mass fields on Minkowski spacetime
• Conformal Scattering of Maxwell Potentials
• Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime