Chaos and Einstein-Rosen gravitational waves

Abstract

We demonstrate the existence of chaotic geodesics for the Einstein-Rosen standing gravitational waves. The complex dynamics of massive test particles are governed by a chaotic heteroclinic network. We present the fractal associated with the system under investigation. Gravitational standing waves produce intricate patterns through test particles in a vague analogy to mechanical vibrations generating Chladni figures and complicated shapes of Faraday waves.

arXiv comment6 pages, 8 figures; minor changes to match published version

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Cited by in corpus (2)

• Halilsoy and Chandrasekhar standing gravitational waves in the linear approximation
• Cylindrical Gravitational Waves in Einstein-Aether Theory