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2017

Chaotic motion in the Johannsen-Psaltis spacetime

Zelenka, Ondřej, Lukes-Gerakopoulos, Georgios

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The Johannsen-Psaltis spacetime is a perturbation of the Kerr spacetime designed to avoid pathologies like naked singularities and closed timelike curves.

This spacetime depends not only on the mass and the spin of the compact object, but also on extra parameters, making the spacetime deviate from Kerr; in this work we consider only the lowest order physically meaningful extra parameter.
We use numerical examples to show that geodesic motion in this spacetime can exhibit chaotic behavior.
We study the corresponding phase space by using Poincar\'{e} sections and rotation numbers to show chaotic behavior, and we use Lyapunov exponents to directly estimate the sensitivity to initial conditions for chaotic orbits.

Chaotic motion in the Johannsen-Psaltis spacetime · Around

Built on

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Devaney, R. (1989), An Introduction to Chaotic Dynamical Systems , Addison-Wesley advanced book program, Addison-Wesley, ISBN 9780201130461, URL https://books.google.cz/books?id=elPvAAAAMAAJ
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Lichtenberg, A. and Lieberman, M. (1992), Regular and Chaotic Dynamics , Second Edition, Springer-Verlag, New York, ISBN 0-387-97745-7
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Meiss, J. D. (1992), Symplectic maps, variational principles, and transport, Rev. Mod. Phys. , 64
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Similar

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Then

Rico, J. M. A. (2013), The Kerr black hole hypothesis: a review of methods and results , Master’s thesis, Lisbon, CENTRA, URL https://fenix.tecnico.ulisboa.pt/downloadFile/395145712687/dissertacao.pdf
2013
Later among the works it cites.
Lukes-Gerakopoulos, G. (2014), Adjusting chaotic indicators to curved spacetimes, Phys. Rev. D , 89
2014
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Markakis, C. (2014), Constants of motion in stationary axisymmetric gravitational fields, Monthly Notices of the Royal Astronomical Society , 441
2014
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Bambi, C. (2017), Black holes : a laboratory for testing strong gravity , Springer, Singapore, ISBN 978-981-10-4524-0
2017
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