Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism
arXiv:2008.01384 · doi:10.1103/PhysRevD.104.046020
Abstract
We explore the chaotic behavior of particle motion in a black hole with quasi-topological electromagnetism. The chaos bound is found to be violated in the higher order expansion of the metric function and the electric potential near the horizon. We draw the Poincare sections of particle motion corresponding to the chaos bound violated and non-violated cases, respectively. Then we study the relationship between the maximal Lyapunov exponent λ_s defined by the static equilibrium and the Lyapunov exponent of the particle geodesic motion near the Reissner-Nordstrom(RN) black hole and the black hole with quasi-topological electromagnetism. We find an interesting relationship between the Lyapunov exponent λ_{ph} of photon's radial falling into the black hole and the maximal Lyapunov exponent λ_s. For the black holes whose metric function increases monotonically with radius outside horizon, this leads to λ_{ph} \geq 2λ_s.
32 pages, 13 figures, 3 tables
References in corpus (15)
- Complexity and Shock Wave Geometries
- Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
- Does scrambling equal chaos?
- Universality in Chaos of Particle Motion near Black Hole Horizon
- Lyapunov indices with two nearby trajectories in a curved spacetime
- Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
- Quasitopological electromagnetism and black holes
- Near horizon local instability and quantum thermality
- Horizon induces instability locally and creates quantum thermality
- Chaos from the ring string in Gauss-Bonnet black hole in space
- Momentum/Complexity Duality and the Black Hole Interior
- Non-integrability and Chaos with Unquenched Flavor
- Chaos in a system at finite temperature and baryon density
- On the geometry outside of acoustic black holes in -dimensional spacetime
- ISCO, Lyapunov exponent and Kolmogorov-Sinai entropy for Kerr-Newman Black hole
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- Triple points and novel phase transitions of dyonic AdS black holes with quasitopological electromagnetism
- Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
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- Chaos of charged particles near a renormalized group improved Kerr black hole in an external magnetic field
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