Stationary equilibrium of test particles near charged black branes with the hyperscaling violating factor

Abstract

We explore the upper bound of the Lyapunov exponent for test particles that maintain equilibrium in the radial direction near the charged black brane with the hyperscaling violating factor. The influences of black brane parameters (hyperscaling violation exponent $\theta$ and dynamical exponent $z$) are investigated. We show that the equilibrium in the radial direction of test particles can violate the chaos bound. The chaos bound is more easily violated for the near-extremal charged black branes. When the null energy condition ($T_{\mu \nu }{\xi }^{\mu }{\xi }^{\nu }\ge 0$) is broken, the bound is also more likely to be violated. These results indicate that the chaos bound of particle motion is related to the temperature of the black hole and the null energy condition (NEC). By considering the zero-temperature and $T_{\mu \nu }{\xi }^{\mu }{\xi }^{\nu }=0$ cases, we obtain the critical parameters ${\theta }_c$ and $z_c$ for the violation of chaos bound. The chaos bound is always satisfied in the range $\theta >{\theta }_c$ or $z>z_c$.

arXiv comment15pages

References in corpus (36)

• A bound on chaos
• Black holes and the butterfly effect
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Multiple Shocks
• Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle
• Universality in Chaos of Particle Motion near Black Hole Horizon
• Charged Black Branes with Hyperscaling Violating Factor
• Chaotic motion of particles in the accelerating and rotating black holes spacetime
• Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations
• On the Chaos Bound in Rotating Black Holes
• Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism
• Quantum Chaos in Topologically Massive Gravity
• Chaos and Fractals in Geodesic Motions Around a Non-Rotating Black-Hole with an External Halo
• Circular Motion of Charged Particles near Charged Black Hole
• Stability analysis and quasinormal modes of Reissner Nordstrøm Space-time via Lyapunov exponent
• Probing Phase Structure of Black Holes with Lyapunov Exponents
• Chaos and Rotating Black Holes with Halos
• Chaos in the motion of a test scalar particle coupling to Einstein tensor in Schwarzschild-Melvin black hole spacetime
• Chaos in charged AdS black hole extended phase space
• Chaos from the ring string in Gauss-Bonnet black hole in $Ad{S}_5$ space
• Lyapunov Exponent and Charged Myers Perry Spacetimes
• Linear and quadratic in temperature resistivity from holography
• Chaos bound and its violation in charged Kiselev black hole
• Hyperscaling violating black hole solutions and Magneto-thermoelectric DC conductivities in holography
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes
• Chaotic Motion near Black Hole and Cosmological Horizons
• The Onset of Chaotic Motion of a Spinning Particle around the Schwarzchild Black Hole
• Chaos in Born-Infeld-AdS black hole within extended phase space
• Bound on Lyapunov exponent in Einstein-Maxwell-Dilaton-Axion black holes
• A bound on energy dependence of chaos
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
• Thermal chaos of a charged dilaton-AdS black hole in the extended phase space
• Causality bounds chaos in geodesic motions
• New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity

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