克尔-AdS黑洞旋转冲击波引起的局部混沌及其超旋版本

IF 2.1 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS General Relativity and Gravitation Pub Date : 2024-07-29 DOI:10.1007/s10714-024-03275-z
Hadyan Luthfan Prihadi, Freddy Permana Zen, Donny Dwiputra, Seramika Ariwahjoedi
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引用次数: 0

摘要

通过计算四维旋转带电渐近 AdS 黑洞的蝶形速度,利用局部旋转冲击波探测混沌。在这项工作中,我们得到了冲击波探测中旋转引起的蝶形速度的角动量依赖性。一般来说,冲击波的角动量会增加蝶形速度。当我们接近极值时,局部冲击波也会产生消失的蝶式速度,这表明在极值附近没有纠缠传播。其中一种蝴蝶速度模式受到光速和 Schwarzschild-AdS 结果的良好约束,而另一种可能成为超光速。除了扰乱时间的对数行为表明存在混沌之外,李亚普诺夫指数也是正的,并受\(\kappa =2\pi T_H/(1-\mu \mathcal {L})\)约束。以Kerr-NUT-AdS和Kerr-Sen-AdS解及其超旋版本为例,我们可以更好地理解旋转黑洞中的混沌现象,尤其是那些带有额外守恒电荷的黑洞。
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Localized chaos due to rotating shock waves in Kerr–AdS black holes and their ultraspinning version

The butterfly velocity of four-dimensional rotating charged asymptotically AdS black hole is calculated to probe chaos using localized rotating shock waves. In this work, we obtain the angular momentum dependence of the butterfly velocity due to rotation in the shock wave probes. In general, the angular momentum \(\mathcal {L}\) of the shock waves increases the butterfly velocity. The localized shocks also generate butterfly velocities which vanish when we approach extremality, indicating no entanglement spread near extremality. One of the butterfly velocity modes is well bounded by both the speed of light and the Schwarzschild-AdS result, while the other may become superluminal. Aside from the logarithmic behavior of the scrambling time which indicates chaos, the Lyapunov exponent is also positive and bounded by \(\kappa =2\pi T_H/(1-\mu \mathcal {L})\). The Kerr–NUT–AdS and Kerr–Sen–AdS solutions and their ultraspinning versions are used as examples to attain a better understanding of the chaotic phenomena in rotating black holes, especially those with extra conserved charges.

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来源期刊
General Relativity and Gravitation
General Relativity and Gravitation 物理-天文与天体物理
CiteScore
4.60
自引率
3.60%
发文量
136
审稿时长
3 months
期刊介绍: General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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