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Chaotic motion in Kundt spacetimes

2007/05/22 by Jiřı́ Podolský, Jiri Podolsky, David Kofroň +1
Mathematics · Physics and Astronomy · #Artificial intelligence #Black Holes and Theoretical Physics #Chaotic #Classical mechanics #Cosmology and Gravitation Theories #Fractal #Function (biology) #Geodesic #Gravitational wave #Homogeneous #Mathematical analysis #Mathematical physics #Mathematics #Motion (physics) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Statistical physics #gr-qc

paper · pdf · doi:10.1088/0264-9381/24/13/016

published as Class.Quant.Grav.24:3413-3424,2007 · 15 pages, 9 figures. To appear in Classical and Quantum Gravity

arxiv created 2007/05/22 · openalex publication_date 2007/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We demonstrate that geodesics in exact vacuum Kundt gravitational waves may exhibit a highly complicated behaviour. In fact, as in the previously studied case of non-homogeneous pp -waves, for specific choices of the structural function the motion appears to be genuinely chaotic. This fact is demonstrated by the fractal method.

Citations