The null-geodesic flow near horizons

2017/01/03 by Oran Gannot, Gannot, Oran
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · pdf · doi:10.48550/arxiv.1701.00555

openalex publication_date 2017/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note describes the behavior of null-geodesics near nondegenerate Killing horizons in language amenable to the application of a general framework, due to Vasy and Hintz, for the analysis of both linear and nonlinear wave equations. Throughout, the viewpoint of Melrose's b-geometry on a suitable compactification of spacetime at future infinity is adopted.

Citations

• Quasinormal modes of black holes: From astrophysics to string theory
• Quasinormal modes: the characteristic `sound' of black holes and neutron stars
• Mathematical Study of Scattering Resonances

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