Scattering theory for the Dirac equation on the Schwarzschild-Anti-de Sitter spacetime
Guillaume Idelon-Riton
TL;DR
This paper proves asymptotic completeness and constructs an asymptotic velocity for massive Dirac fields on Schwarzschild-Anti-de Sitter spacetime, using Mourre estimates to analyze scattering behavior.
Contribution
It provides the first rigorous analysis of scattering theory for Dirac fields in Schwarzschild-Anti-de Sitter spacetime, establishing asymptotic completeness.
Findings
Proved asymptotic completeness for Dirac fields.
Constructed an asymptotic velocity for the fields.
Applied Mourre estimate technique to curved spacetime scattering.
Abstract
We show asymptotic completeness for linear massive Dirac fields on the Schwarzschild-Anti-de Sitter spacetime. The proof is based on a Mourre estimate. We also construct an asymptotic velocity for this field.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Advanced Mathematical Physics Problems · Cosmology and Gravitation Theories