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arXiv 2401.01767gr-qc
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静态规则黑洞时空中的吸收与(无界)超辐射

Absorption and (unbounded) superradiance in a static regular black hole spacetime

Marco A. A. de Paula, Luiz C. S. Leite, Sam R. Dolan, Luís C. B. Crispino

AI总结:

本文研究了带电有质量标量场在 ABG 规则黑洞上的吸收与超辐射,发现其在特定参数下存在 RN 黑洞所没有的无界超辐射现象,并探讨了二者截面的差异与模拟。

摘要:

规则黑洞(RBHs)——无曲率奇点的几何——自然产生于非线性电动力学理论中。在此,我们研究了入射到带电荷的 Ayón-Beato-García(ABG)RBH 上的带电、有质量标量场中单色平面波的吸收与超辐射放大。我们将其与线性电动力学中 Reissner-Nordström(RN)黑洞的吸收和超辐射进行了比较。我们发现,在特定参数区域内,由于超辐射,ABG 的吸收截面为负,且当波动的动量趋于零时,该截面无下界;这种“无界超辐射”现象在 RN 情况中是不存在的。我们展示了如何利用有界/无界以及吸收/放大边界将参数空间划分为不同区域。在引入基于粒子轨迹的高频近似后,我们通过分波展开数值计算了作为波频率函数的吸收截面,并给出了结果图集。研究发现,当场电荷与黑洞电荷同号(异号)时,ABG RBH 的截面大于(小于)RN 情况。我们表明,有可能找到“模拟物”:即两种黑洞的吸收截面非常相似的情况。最后,我们讨论了无界超辐射及超辐射不稳定性。

英文摘要:

Regular black holes (RBHs) -- geometries free from curvature singularities -- arise naturally in theories of non linear electrodynamics. Here we study the absorption, and superradiant amplification, of a monochromatic planar wave in a charged, massive scalar field impinging on the electrically-charged Ayón-Beato-García (ABG) RBH. Comparisons are drawn with absorption and superradiance for the Reissner-Nordström (RN) black hole in linear electrodynamics. We find that, in a certain parameter regime, the ABG absorption cross section is negative, due to superradiance, and moreover it is unbounded from below as the momentum of the wave approaches zero; this phenomenon of ``unbounded superradiance'' is absent in the RN case. We show how the parameter space can be divided into regions, using the bounded/unbounded and absorption/amplification boundaries. After introducing a high-frequency approximation based on particle trajectories, we calculate the absorption cross section numerically, via the partial-wave expansion, as function of wave frequency, and we present a gallery of results. The cross section of the ABG RBH is found to be larger (smaller) than in the RN case when the field charge has the same (opposite) sign as the black hole charge. We show that it is possible to find ``mimics'': situations in which the cross sections of both black holes are very similar. We conclude with a discussion of unbounded superradiance, and superradiant instabilities.

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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