Circular orbits and chaos bound in slow-rotating curved acoustic black holes

IF 4.2 2区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS
Balbeer Singh, Nibedita Padhi, Rashmi R. Nayak
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Abstract

Acoustic black holes, analogs of gravitational black holes created in fluid systems, have recently been embedded within Schwarzschild spacetime using the Gross–Pitaevskii theory, leading to configurations with both event and acoustic horizons. This study examines the motion of vortices, modeled as unit-mass relativistic test particles, around a slow-rotating curved acoustic black hole. We analyse the stability of circular orbits, identifying the innermost stable circular orbit (ISCO), and investigate the chaotic dynamics of vortices perturbed from unstable circular orbits near the acoustic horizon. Using the Lyapunov exponent to quantify this chaos, we assess whether it satisfies the Maldacena–Shenker–Stanford bound \((\lambda \le 2 \pi T_H)\), a limit established for gravitational black holes in general relativity. Our results show that, in non-extremal cases \((\xi > 4)\), the Lyapunov exponent respects the bound near the horizon, while in extremal cases \((\xi = 4)\), it is violated due to vanishing surface gravity. These findings highlight similarities between acoustic and gravitational black holes, advancing the analogy in the context of chaos and orbital dynamics.

慢旋转弯曲声黑洞中的圆轨道和混沌
声学黑洞是在流体系统中产生的引力黑洞的类似物,最近利用Gross-Pitaevskii理论被嵌入到史瓦西时空中,从而导致具有事件视界和声学视界的配置。本研究以单位质量相对论性测试粒子为模型,在一个缓慢旋转的弯曲声黑洞周围考察了涡旋的运动。我们分析了圆轨道的稳定性,确定了最内层稳定圆轨道(ISCO),并研究了声视界附近不稳定圆轨道扰动涡的混沌动力学。使用李雅普诺夫指数来量化这种混沌,我们评估它是否满足Maldacena-Shenker-Stanford边界\((\lambda \le 2 \pi T_H)\),这是广义相对论中为引力黑洞建立的极限。我们的结果表明,在非极端情况下\((\xi > 4)\), Lyapunov指数尊重视界附近的边界,而在极端情况下\((\xi = 4)\),由于表面重力的消失,它被违反。这些发现突出了声学黑洞和引力黑洞之间的相似性,推进了混沌和轨道动力学背景下的类比。
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来源期刊
The European Physical Journal C
The European Physical Journal C 物理-物理:粒子与场物理
CiteScore
8.10
自引率
15.90%
发文量
1008
审稿时长
2-4 weeks
期刊介绍: Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.
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