Quasimodes and a lower bound for the local energy decay of the Dirac equation in Schwarzschild-Anti-de Sitter spacetime

2016/10/18 by Guillaume Idelon-Riton, Idelon-Riton, Guillaume
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1610.05542

openalex publication_date 2016/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the existence of exponentially accurate quasimodes using the square of the Dirac operator on the Schwarzschild-Anti-de Sitter spacetime and the Agmon estimates. We then deduce a logarithmic lower bound for the local energy decay of the Dirac propagator.

Citations

• Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter\n spaces

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