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arXiv 2604.26166gr-qc
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电磁场在准拓扑引力中的散射

Scattering of electromagnetic field in quasi-topological gravity

Centro de Matemática, Computação e Cognição (CMCC), Universidade Federal do ABC (UFABC)(ABC联邦大学认知、计算与数学中心)

Juan Pablo Arbelaez

AI总结:

研究高维正则黑洞背景下的电磁扰动吸收截面,分析高曲率修正和时空维度对散射特性的影响,展示正则性对吸收谱和有效光球半径的系统性影响。

摘要:

我们研究了在准拓扑引力中出现的高维正则黑洞背景下的四维膜上电磁扰动的吸收截面。通过基于WKB的方法计算灰体因子,我们分析了高曲率修正和时空维度性对系统散射特性的影响。我们证明正则性效应导致系统偏离奇异的Tangherlini解,表现为吸收谱的位移和有效光球半径的修改。增加时空维度会抑制这些偏差,使系统趋近于经典极限并减少收敛所需的多极数。在高频区域,吸收截面趋近于几何光学极限,而在低频区域则因传输概率降低而被强烈抑制。我们的结果表明,正则性与高曲率效应的相互作用在吸收特性上留下显著印记,为底层引力理论提供了灵敏的探测手段。

英文摘要:

We investigate the absorption cross sections of electromagnetic perturbations propagating on a four-dimensional brane in the background of higher-dimensional regular black holes arising in quasi-topological gravity. Employing a WKB-based approach for the computation of greybody factors, we analyze the impact of higher-curvature corrections and spacetime dimensionality on the scattering properties of the system. We show that regularity effects lead to systematic deviations from the singular Tangherlini solution, manifested in shifts of the absorption spectrum and modifications of the effective photon sphere radius. Increasing the number of spacetime dimensions suppresses these deviations, driving the system toward the classical limit and reducing the number of multipoles required for convergence. In the high-frequency regime, the absorption cross section approaches the geometric-optics limit, while at low frequencies it is strongly suppressed due to diminished transmission probabilities. Our results demonstrate that the interplay between regularity and higher-curvature effects leaves distinct imprints on the absorption characteristics, providing a sensitive probe of the underlying gravitational theory.

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