Chaos and Einstein-Rosen gravitational waves
General Relativity and Quantum Cosmology
2023-12-12 v2 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.2305.04873,
title = {Chaos and Einstein-Rosen gravitational waves},
author = {Sebastian J. Szybka and Syed U. Naqvi},
journal= {arXiv preprint arXiv:2305.04873},
year = {2023}
}
Comments
6 pages, 8 figures; minor changes to match published version