带有两个洛伦兹破缺Kalb-Ramond耦合的带电黑洞的色弱引力透镜
Chromatic Weak Lensing by Charged Black Holes with Two Lorentz-Violating Kalb-Ramond Couplings
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中文总结 AI 辅助
该研究针对含两个洛伦兹破缺Kalb-Ramond耦合的带电黑洞，推导了二阶后闵可夫斯基阶的局域偏转角，分析了等离子体中的色特征与吸积相关条件，为引力透镜的现象学约束提供了校准基础。
中文摘要 AI 辅助
我们研究洛伦兹破缺Kalb-Ramond背景下带有两个非最小曲率耦合的静态带电黑洞的弱引力透镜与稳态球形试验流体吸积，假设探针辐射为最小耦合。利用含正确边界项与扰动光线边界的高斯-博内定理，我们得到了至二阶后闵可夫斯基阶的完整局域偏转角。在均匀冷等离子体中，质量与电荷部分呈现不同的频率依赖性，产生独特的色特征；两个洛伦兹破缺耦合也可区分：一个控制锥形几何与质量归一化，另一个首次通过有效电荷进入。对于中性绝热吸积，我们推导了守恒通量、伯努利关系、哈密顿流与声点条件。这些结果区分了局域、全局、色散与吸积效应，建立了现象学约束所需的校准。
英文摘要
We study weak gravitational lensing and steady spherical test--fluid accretion by a static charged black hole in a Lorentz--violating Kalb--Ramond background with two nonminimal curvature couplings, assuming minimally coupled probe radiation. Using the Gauss--Bonnet theorem with the correct boundary term and perturbed ray boundary, we obtain the complete local deflection angle through second post--Minkowskian order. In a homogeneous cold plasma, the mass and charge sectors acquire different frequency dependences, producing distinct chromatic signatures. The two Lorentz--violating couplings are also separated: one controls the conical geometry and mass normalization, while the other first enters through the effective charge. For neutral adiabatic accretion, we derive the conserved fluxes, Bernoulli relation, Hamiltonian flow, and sonic--point conditions. These results disentangle local, global, dispersive, and accretion effects and establish the calibrations required for phenomenological constraints.
