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2026 年 3 月 17 日 星期二 · 数据截至 arXiv / ADS 最新收录日
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Two shadows of a single black hole: Vacuum birefringence phenomena within Einstein-nonlinear-electrodynamics

de Paula, Marco A. A., Lima, Haroldo C. D., Cunha, Pedro V. P., et al.

原文摘要Abstract

One of the main features of nonlinear electrodynamics is the existence of an effective geometry that describes the geodesic motion of photons. A detailed analysis of the properties of the effective geometry is of utmost importance for a better understanding of nonlinear electrodynamics theories and their possible imprints on physics, especially in the context of black holes. We consider a nonlinear electrodynamics model that depends on the two electromagnetic scalar invariants and obtain that the motion of photons in nonlinear electrodynamics exhibits vacuum birefringence, i.e., photons can propagate along two distinct paths, depending on their polarization. As a consequence of this phenomenon, we show that static black hole solutions sourced by nonlinear electrodynamics can admit two distinct unstable light rings, leading to the formation of two distinct shadows. Moreover, to explore the potential astrophysical relevance of our results, we compare them with the astrophysical observations for the shadow radius of Sagittarius A*. We place upper limits on the charge-to-mass ratio of the nonlinear electrodynamics-sourced black hole. We also show that the motion of photons in this context can be interpreted as nongeodesic curves subjected to a four-force term from the perspective of an observer in the spacetime metric, generalizing previous results in the literature for nonlinear electrodynamics models that depend on a single electromagnetic scalar invariant.

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单个黑洞的双重阴影:爱因斯坦-非线性电动力学中的真空双折射现象 · 本文在依赖于两个电磁标量不变量的非线性电动力学模型中,发现真空双折射导致静态黑洞产生两个不稳定光环和两个阴影,并与银心黑洞观测比较约束了荷质比。

预印本 2026-03-17 · 刊出 2026-07-16 · 收录 2026-07-27