广义海森堡-欧拉非线性电动力学中的黑洞阴影与光线偏折
Black Hole Shadow and Light Deflection in Generalized Heisenberg-Euler Nonlinear Electrodynamics
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中文总结 AI 辅助
本研究分析广义海森堡-欧拉非线性电动力学中带电黑洞的光子球、阴影及光线偏折，发现NLED效应在极端情形下显著，且Sgr A*对电荷给出更强约束，表明NLED修正可观测地改变光学性质。
中文摘要 AI 辅助
我们在二阶形式主义中，研究了由广义海森堡-欧拉非线性电动力学（NLED）所源出的带电黑洞的光学性质。利用静态球对称解的精确参数形式，我们分析了光子球、黑洞阴影和光线偏折角，并将结果与赖斯纳-诺德斯特伦和史瓦西情形进行了比较。我们发现，光子球和阴影半径随电荷增加而减小，随黑洞质量增加而增大，而NLED效应主要在接近极端情形时变得显著。通过将无量纲阴影半径与事件视界望远镜（EHT）对Sgr A*和M87*的约束进行比较，我们推导出电荷的现象学上限，其中Sgr A*提供了更强的约束。我们进一步表明，对于固定的碰撞参数和电荷，偏折角系统地大于相应的赖斯纳-诺德斯特伦时空中的偏折角，并且临界碰撞参数向更大值移动。我们的结果表明，NLED修正对带电黑洞的光学性质产生了可观测的改变，尤其是在接近极端情形时。
英文摘要
We study the optical properties of electrically charged black holes sourced by generalized Heisenberg-Euler nonlinear electrodynamics (NLED) in the second-order formalism. Using the exact parametric form of the static spherically symmetric solution, we analyze the photon sphere, the black hole shadow, and the light deflection angle, and compare the results with those of the Reissner-Nordström and Schwarzschild cases. We find that the photon sphere and shadow radii decrease with increasing charge and increase with black hole mass, while NLED effects become significant mainly near extremality. By confronting the dimensionless shadow radius with the Event Horizon Telescope (EHT) bounds from Sgr A* and M87*, we derive phenomenological upper limits on the charge, with Sgr A* providing the stronger constraint. We further show that, for fixed impact parameter and charge, the deflection angle is systematically larger than in the corresponding Reissner-Nordström spacetime, and that the critical impact parameter is shifted to larger values. Our results show that NLED corrections produce observable modifications in the optical properties of charged black holes, especially close to extremality.
发表机构
- İstinye University（伊斯坦耶大学）
- Eastern Mediterranean University（东地中海大学）
- the Open University of Israel（以色列开放大学）
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