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arXiv 2408.09228gr-qc
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含背景Kalb-Ramond场的引力中带电黑洞的测地线结构与偏转角

Geodesics structure and deflection angle of electrically charged black holes in gravity with a background Kalb-Ramond field

Ahmad al-Badawi, Sanjar Shaymatov, Izzet Sakallı

发表信息：
EPJC 2024
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AI总结：

该研究探讨含背景Kalb-Ramond场的带电黑洞测地线与偏转角，推导轨道特性并发现洛伦兹破缺参数与电荷可模拟高自旋Kerr黑洞效应，为黑洞观测与洛伦兹破缺检验提供理论参考。

摘要：

本文研究了存在非零真空期望值背景Kalb-Ramond场时带电黑洞的测地线结构与偏转角，探讨的主题包括类光与类时测地线、碰撞能量提取以及带电粒子的运动。我们计算并绘制了光子球半径，以考察黑洞电荷（$Q$）和洛伦兹破缺参数（$b$）对类光测地线的影响。分析了类时测地线的有效势，并推导了二阶解析轨道。研究进一步表明，洛伦兹破缺参数与电荷的联合效应可以模拟Kerr黑洞自旋参数直至其最大值，即$a/M \sim 1$，这意味着当前对高自旋黑洞候选体的测量精度可能无法排除洛伦兹破缺参数的影响。本文还研究了碰撞粒子的质心能量，发现其随洛伦兹破缺参数的增大而降低。研究发现了带电粒子的圆轨道，且稳定圆轨道的最小半径随$b$和$Q$的增大而减小，结果表明该圆轨道对洛伦兹破缺参数的变化尤为敏感。此外，参数$b$和$Q$的联合效应会产生类时粒子轨迹。最后，采用弱场极限方法分析光偏转角以确定洛伦兹破缺效应，并利用Gauss-Bonnet定理进行计算。研究结果通过相应图表可视化并进行了深入讨论。

英文摘要：

This article investigates the geodesic structure and deflection angle of charged black holes in the presence of a nonzero vacuum expectation value background of the Kalb-Ramond field. Topics explored include null and timelike geodesics, energy extraction by collisions, and the motion of charged particles. The photon sphere radius is calculated and plotted to examine the effects of both the black hole charge ($Q$) and the Lorentz-violating parameter ($b$) on null geodesics. The effective potential for timelike geodesics is analyzed, and second-order analytical orbits are derived. We further show that the combined effects of Lorentz-violating parameter and electric charge can mimic a Kerr black hole spin parameter up to its maximum values, i.e., $a/M \sim 1$ thus suggesting that the current precision of measurements of highly spinning black hole candidates may not rule out the effect of Lorentz-violating parameter. The center of mass energy of colliding particles is also considered, demonstrating a decrease with increasing Lorentz-violating parameter. Circular orbiting particles of charged particles are discovered, with the minimum radius for a stable circular orbit decreasing as both $b$ and $Q$ increase. Results show that this circular orbit is particularly sensitive to changes in the Lorentz-violating parameter. Additionally, a timelike particle trajectory is demonstrated as a consequence of the combined effects of parameters $b$ and $Q$. Finally, the light deflection angle is analyzed using the weak field limit approach to determine the Lorentz-breaking effect, employing the Gauss-Bonnet theorem for computation. Findings are visualized with appropriate plots and thoroughly discussed.

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