Recurrence analysis of spinning particles in the Schwarzschild background

Abstract

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincaré section and recurrence analysis are employed to discern chaos from order. It is shown that the chaotic or regular nature of the orbital motion is reflected on the gravitational waves.

arXiv comment8 pages, 2 figures, to appear in the RAGtime20 conference proceedings (Opava, October 15-19 2018)

References in corpus (6)

• Recurrence Plots for the Analysis of Complex Systems
• Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle
• Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
• Gravitational Waves from Chaotic Dynamical System
• The dynamics of a spinning particle in a linear in spin Hamiltonian approximation
• Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise

Cited by in corpus (2)

• Gravitational-wave glitches: resonant islands and frequency jumps in non-integrable extreme-mass-ratio inspirals
• Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. III: the spinning test-body terms