Chaos in black holes surrounded by gravitational waves
P.S. Letelier, W. M. Vieira
TL;DR
This paper investigates how gravitational waves can induce chaos in the motion of test particles around Schwarzschild black holes using the Melnikov method, providing insights into complex dynamical behaviors in curved spacetime.
Contribution
It introduces a novel application of the Melnikov method to analyze chaos in black hole environments perturbed by gravitational waves, with explicit solutions for homoclinic orbits.
Findings
Chaos can be triggered by gravitational wave perturbations
Explicit solutions for homoclinic orbits are derived
The Melnikov method effectively detects chaos in this context
Abstract
The occurrence of chaos for test particles moving around Schwarzschild black holes perturbed by a special class of gravitational waves is studied in the context of the Melnikov method. The explicit integration of the equations of motion for the homoclinic orbit is used to reduce the application of this method to the study of simple graphics.
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