AI 中文总结
研究带电黑洞轨道随电荷变化的普遍行为，通过考虑玻色子场与仿射度规耦合，发现非度规性导致的定性异常及对黑洞阴影的影响，以爱丁顿启发的引力为例，指出下一代成像可分辨此特征并探测高能窗口。
AI 中文摘要
在广义相对论及其度规形式主义扩展中，带电黑洞的最内稳定圆轨道和光子环会随着电荷增加而收缩。本文发现了一种违反这一普遍行为的定性异常，作为几何非度规性的确凿证据。通过考虑玻色子场与独立仿射度规之间的最小耦合，证明非度规性会引发有效几何力，使无质量和有质量玻色子的轨迹随着黑洞电荷增加而扩展。这种定性反转直接印刻在黑洞阴影上，消除了度规仿射引力与广义相对论之间的简并。以爱丁顿启发的玻恩 - 英费尔德引力为例，表明下一代视界尺度成像可分辨此特征，探测高达\(10^{5}\,\text{TeV}\)尺度的互补高能窗口。
英文摘要
In general relativity and its metric-formalism extensions, the innermost stable circular orbit and the photon ring of a charged black hole contract as the charge increases. In this paper, we discover a qualitative anomaly that violates this universal behavior, serving as a smoking-gun signature of geometric nonmetricity. By considering a minimal coupling between the bosonic field and the independent affine metric, we demonstrate that nonmetricity induces an effective geometric force that triggers a trajectory expansion of both massless and massive bosons with increasing black hole charge. This qualitative inversion directly imprints onto the black hole shadow, lifting the degeneracy between metric-affine gravity and general relativity. Using Eddington-inspired Born-Infeld gravity as a concrete implementation, we show that next-generation horizon-scale imaging can resolve this signature, probing a complementary high-energy window up to the $10^{5}_{~}\,\text{TeV}$ scale.
Comments14 pages, 4 figures
