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.
Motions of spinning particles and chaos bound in Reissner-Nordstr\"om spacetime
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abstract
Previous research showed that the chaos bound proposed in \cite{MSS} can be violated under specific conditions within the scalar fields surrounding black holes. In this paper, we explore motions of spinning particles orbiting a Reissner-Nordstr\"om black hole and examine whether this bound is violated in the spinor field of this black hole. For the neutral particle, when its spin magnitude surpasses a specific threshold, the value of the exponent exceeds the surface gravity, resulting in a violation of the bound. Given a fixed total angular momentum of the particle, when its spin direction is anti-aligned with the angular momentum direction, the exponent value is greater than that when the two directions are aligned. For the charged particle, taking into account the influence of the electromagnetic force, we find that for relatively large angular momenta, although the electromagnetic force does not change the trend of the exponent's variation with respect to spin and angular momentum, and only modifies its values, it still leads to the violation. Therefore, the chaos bound violations are observed in the spinor field.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.