Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
arXiv:2005.12043 · doi:10.1007/s10455-021-09789-y
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.
arXiv comment20 pages, 3 firgures
References in corpus (10)
- The linear stability of the Schwarzschild solution to gravitational perturbations
- A scattering theory for the wave equation on Kerr black hole exteriors
- A scattering theory for linear waves on the interior of Reissner-Nordström black holes
- Conformal Scattering of Maxwell Fields on Reissner-Nordstrøm-de Sitter Black Hole Spacetimes
- A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordstrom
- Conformal scattering for a nonlinear wave equation on a curved background
- Peeling on Kerr spacetime~:linear and non linear scalar fields
- Peeling of Dirac fields on Kerr spacetimes
- Hörmander's method for the characteristic Cauchy problem and conformal scattering for a non linear wave equation
- Conformal scattering of the Maxwell-scalar field system on de Sitter space
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