Lyapunov exponents of charged probes capture the same cusp and transition points in dilatonic RN-AdS phase structure across Einstein and string frames, even though the exponent values themselves depend on frame for massive particles.
A universal geometric mechanism for chaos-bound violations in black hole spacetimes
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Violation of the Maldacena-Shenker-Stanford (MSS) chaos bound has been observed in various black hole spacetimes, but its physical origin remains unclear. In particular, it is uncertain whether these violations arise from modifications of general relativity or reflect a more fundamental feature of black hole spacetimes. In this work, we systematically investigate the instability of circular geodesics across a broad class of black hole solutions in Einstein, scalar-tensor, and higher-curvature gravity. We show that the violations are governed by the relative behavior of unstable circular orbits and the horizon structure in near-extremal regimes. When the relevant orbit remains outside the horizon as the surface gravity vanishes, the instability scale persists, and the chaos bound can be violated. On the other hand, as the orbit approaches the degenerate horizon, the instability becomes suppressed by the associated divergent gravitational time dilation, ultimately leading to saturation of the bound. Motivated by these results, we propose a geometric conjecture that determines the applicability of the MSS bound directly from the photon-sphere and horizon structure of the spacetime. Our findings identify a universal geometric criterion that governs the applicability of the MSS bound in black hole spacetimes, revealing a fundamental constraint on extending the quantum chaos bound to classical gravitational settings.
fields
gr-qc 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Spinning test particles reveal that chaos bound violations in Kerr-Newman-AdS spacetime depend on the interplay of particle spin, black hole rotation, charge, and negative cosmological constant, with specific quenching and triggering conditions in Kerr-AdS and RN-AdS limits.
Exact black hole solution with anisotropic matter and magnetic field shows the matter parameter reduces local chaos (Lyapunov exponent) while the magnetic field drives qualitative shifts in global chaos (Poincaré sections).
citing papers explorer
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Phase Transitions with Lyapunov Exponents under Einstein and String Frames in Dilatonic Reissner--Nordstr\"om--AdS Black Holes
Lyapunov exponents of charged probes capture the same cusp and transition points in dilatonic RN-AdS phase structure across Einstein and string frames, even though the exponent values themselves depend on frame for massive particles.
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Probing the chaos bound via spinning particles in Kerr-Newman-AdS spacetime
Spinning test particles reveal that chaos bound violations in Kerr-Newman-AdS spacetime depend on the interplay of particle spin, black hole rotation, charge, and negative cosmological constant, with specific quenching and triggering conditions in Kerr-AdS and RN-AdS limits.
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Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field
Exact black hole solution with anisotropic matter and magnetic field shows the matter parameter reduces local chaos (Lyapunov exponent) while the magnetic field drives qualitative shifts in global chaos (Poincaré sections).