Recurrence analysis of spinning particles in the Schwarzschild background

Mathisson, M. (1937), Neue mechanik materieller systemes, Acta Phys.Polon. , 6

1937

Earlier work this paper cites.

Papapetrou, A. (1951), Spinning test particles in general relativity. 1., Proc.Roy.Soc.Lond. , A209

1951

Earlier work this paper cites.

Tulczyjew, W. (1959), Motion of multipole particles in general relativity theory, Acta Phys. Pol , 18

1959

Earlier work this paper cites.

Dixon, W.G. (1974), Dynamics of extended bodies in General Relativity. III. Equations of motion, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences , 277

1974

Earlier work this paper cites.

Suzuki, S. and Maeda, K.-I. (1997), Chaos in Schwarzschild spacetime: The motion of a spinning particle, Phys. Rev. D , 55

1997

Cited alongside, same era.

Kiuchi, K. and Maeda, K.-I. (2004), Gravitational waves from a chaotic dynamical system, Phys. Rev. D , 70

2004

Cited alongside, same era.

Marwan, N., Carmen Romano, M., Thiel, M. and Kurths, J. (2007), Recurrence plots for the analysis of complex systems, Phys. Rep. , 438

2007

Cited alongside, same era.

Harms, E., Bernuzzi, S., Nagar, A. and Zenginoğlu, A. (2014), A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime, Classical Quantum Gravity , 31

2014

Cited alongside, same era.

Dixon, W.G. (1970a), Dynamics of extended bodies in General Relativity. I. Momentum and angular momentum, Proc.Roy.Soc.Lond. , A314

Cited in the paper.

Dixon, W.G. (1970b), Dynamics of extended bodies in General Relativity. II. Moments of the charge-current vector, Proc.Roy.Soc.Lond. , A319

Cited in the paper.

Harms, E., Lukes-Gerakopoulos, G., Bernuzzi, S. and Nagar, A. (2016), Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole, Phys. Rev. D , 93

2016

Later among the works it cites.

Lukes-Gerakopoulos, G., Katsanikas, M., Patsis, P. A. and Seyrich, J. (2016), Dynamics of a spinning particle in a linear in spin Hamiltonian approximation, Phys. Rev. D , 94

2016

Later among the works it cites.

Lukes-Gerakopoulos, G. and Kopáček, O. (2018), Recurrence analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise, International Journal of Modern Physics D , 27

2018

Later among the works it cites.

Witzany, V., Steinhoff, J. and Lukes-Gerakopoulos, G. (2018), Hamiltonians and canonical coordinates for spinning particles in curved space-time, arXiv e-prints , 1808.06582

Original

2018

Later among the works it cites.