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arXiv 2305.02702gr-qc
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电荷对磁化$Reissner-Nordström$时空中混沌的影响

Impact of electric charges on chaos in magnetized $Reissner-Nordström$ spacetimes

Daqi Yang, Wenfang Liu, Xin Wu

AI总结:

该研究针对磁化Reissner-Nordström黑洞周围的试验粒子运动,采用时间变换显式辛积分器分析,揭示了磁场、粒子能量、角动量及黑洞与粒子电荷对粒子运动混沌程度的不同调控规律。

摘要:

我们研究了浸入强外部磁场、时空结构受磁场调制的$Reissner-Nordström$(雷斯勒-诺德斯特洛姆)黑洞周围试验粒子的运动。当粒子为电中性时,其动力学是不可积的——磁场会产生引力效应,破坏$Reissner-Nordström$时空中第四运动常数的存在。我们采用时间变换显式辛积分器证明,中性粒子的运动在某些条件下会呈现混沌特性。当试验粒子带有电荷时,其运动同时受黑洞周围的电磁场,以及黑洞和磁场产生的引力作用。研究发现,无论粒子是中性还是带电,增强磁场强度、提高粒子能量,或是减小粒子角动量,都会强化混沌程度。黑洞正电荷的变化对从有序到混沌的动力学转变的影响,与粒子的电荷性质相关:中性粒子的动力学转变对黑洞电荷的变化没有敏感依赖性;黑洞电荷增加会减弱带正电粒子的混沌性,却会增强带负电粒子的混沌性;而随着粒子电荷的绝对值增大,混沌程度始终会增强。

英文摘要:

We consider the motion of test particles around a $Reissner-Nordström$ black hole immersed into a strong external magnetic field modifying the spacetime structure. When the particles are neutral, their dynamics are nonintegrable because the magnetic field acts as a gravitational effect, which destroys the existence of a fourth motion constant in the $Reissner-Nordström$ spacetime. A time-transformed explicit symplectic integrator is used to show that the motion of neutral particles can be chaotic under some circumstances. When test particles have electric charges, their motions are subject to an electromagnetic field surrounding the black hole as well as the gravitational forces from the black hole and the magnetic field. It is found that increasing both the magnetic field and the particle energy or decreasing the particle angular momentum can strengthen the degree of chaos regardless of whether the particles are neutral or charged. The effect of varying the black hole positive charge on the dynamical transition from order to chaos is associated with the electric charges of particles. The dynamical transition of neutral particles has no sensitive dependence on a change of the black hole charge. An increase of the black hole charge weakens the chaoticity of positive charged particles, whereas enhances the chaoticity of negative charged particles. With the magnitude of particle charge increasing, chaos always gets stronger.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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