AI 中文总结
本研究在爱因斯坦-AdS SU(N)-非线性σ模型框架下，分析旋转黑洞圆轨道与 plunge 区域的磁重联能量提取，发现其自旋阈值远低于此前结果，且plunge区域功率更高。
AI 中文摘要
本研究分析了爱因斯坦-AdS-SU(N)-NLSM黑洞在圆轨道区域和 plunge 区域中通过磁重联提取能量的功率与效率。首先，我们定义该时空的背景属性，随后分析 ergoregion 大小、事件视界、能层边界等物理量；接着分析圆轨道内的磁重联过程，绘制能量提取参数图并研究能量提取的功率与效率。结果表明，即使自旋参数低至0.7时能量提取仍可行，远低于此前报道的阈值，且在特定约束下提取功率可超过Blandford-Znajek机制的功率；耦合常数K、AdS半径l与味数N共同作用，降低了能量提取的自旋阈值。随后，我们进一步研究plunge区域内该能量提取机制的可行区域、对应功率输出及效率，发现即使自旋低至0.2时能量提取仍可能，且参数N、K、l主要贡献于降低能量提取的自旋阈值，该行为与圆轨道中类似。最后，对比plunge区域与圆轨道，我们发现plunge区域的能量提取功率高于圆轨道的功率。
英文摘要
In the present study, we analyze the power and efficiency of energy extraction via magnetic reconnection in the rotating Einstein-AdS-SU($N$)-NLSM black hole, both in the circular-orbit regime and in the plunging region. Initially, we define the background properties of this spacetime, and then analyze the physical quantities such as the size of the ergoregion, the event horizon, and the boundaries of the ergosphere. We analyze the magnetic reconnection process within circular orbits. We plot energy-extraction parameter diagrams and analyze the power and efficiency of energy extraction. Our results indicate that energy extraction remains feasible even at a spin parameter as low as $0.7$, significantly below previously reported thresholds, and the extracted power can exceed that of the Blandford-Znajek mechanism with specific constraints. The coupling constant $K$, AdS radius $l$ and the flavors number $N$, collectively participate in lowering the spin threshold for energy extraction. Consequently, we further investigate the permissible energy extraction region for the energy extraction mechanism in the plunging region, as well as the corresponding power output and efficiency. We observe that the energy extraction is possible even at a spin as low as $0.2$. Importantly, the parameters $N,~K$ and $l$ mainly contribute to lowering the energy extraction spin threshold. This behavior is similar to that in circular orbits. Finally, comparing the plunging region with the circular orbits, we observe that the energy extraction power in the plunging region is higher than in the circular orbits.
