Computation of Lyapunov exponents in general relativity

DOI10.1016/S0375-9601(03)00720-5zbMath1027.83009arXivgr-qc/0302118MaRDI QIDQ1811469

Tianyi Huang, Xin Wu

Publication date: 11 June 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0302118

zbMATH Keywords

chaosdynamical systemsgeneral relativityLyapunov exponentcoordinate invariancespace-separation changing law

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (12)

Chaotic motion of particles in the accelerating and rotating black holes spacetime ⋮ Chaotic dynamics of string around charged black brane with hyperscaling violation ⋮ Circular string in a black \(p\)-brane leading to chaos ⋮ Dynamics of High-Order Spin-Orbit Couplings about Linear Momenta in Compact Binary Systems ^* ⋮ Reliability of Lyapunov characteristic exponents computed by the two-particle method ⋮ Dynamics of a test particle around two massive bodies in decay circular orbits ⋮ Geodesic motions of test particles in a relativistic core-shell spacetime ⋮ Chaos and dynamics of spinning particles in Kerr spacetime ⋮ A differential algorithm for the Lyapunov spectrum ⋮ Is the Hamiltonian geometrical criterion for chaos always reliable? ⋮ Effects of manifold correction methods on chaos indicators ⋮ Equivalence between two charged black holes in dynamics of orbits outside the event horizons

Cites Work

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• Local integrability of the mixmaster model
• Regular and stochastic motion
• Chaos around the superposition of a black-hole and a thin disk
• Chaos in relativity and cosmology
• General relativity and cosmology
• Chaos in pseudo-Newtonian black holes with halos

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