AI 中文总结
研究旋转辛普森 - 维瑟黑洞中重复彭罗斯过程，通过假设正则化参数不变，发现几何可诱导过程终止，其与动态机制的相对重要性取决于该参数，还研究了相关能量等随参数及粒子衰变半径的变化，凸显时空几何对能量提取过程的影响。
AI 中文摘要
我们研究了旋转辛普森 - 维瑟时空中的重复彭罗斯过程，其参数空间包括规则黑洞、黑反弹几何和可穿越虫洞。假设正则化参数在整个演化过程中保持不变，分析表明重复过程的终点并非总是仅由传统的最小自旋条件决定。对于足够大的正则化参数值，演化解可能在达到动态自旋极限之前离开对应于原始双视界黑洞分支的参数域。在当前框架下，这提供了一个额外的几何诱导条件来限制迭代序列的延续。数值结果进一步表明，动态和几何诱导终止机制的相对重要性敏感地取决于正则化参数。对于小变形，演化在定性上与克尔时空相似。然而，随着正则化参数增加，累积提取能量、可允许的彭罗斯迭代次数和过程效率逐渐降低。我们还研究了提取能量、最终不可约质量以及两个互补效率度量如何随正则化参数和粒子衰变半径变化。总体而言，当前分析表明，在RSV几何中，基础时空结构不仅影响重复彭罗斯过程的累积效率，还影响迭代演化保持自洽的参数范围。这些结果突出了时空几何在塑造规则旋转黑洞时空中理想化彭罗斯型能量提取过程长期演化中所起的作用。
英文摘要
We examine the Repetitive Penrose Process in the rotating Simpson-Visser spacetime, whose parameter space includes regular black holes, black-bounce geometries, and traversable wormholes. Assuming that the regularization parameter remains unchanged throughout the evolution, the analysis shows that the endpoint of the repetitive process is not always determined solely by the conventional minimum spin condition. Instead, for sufficiently large values of the regularization parameter, the evolving solution may leave the parameter domain corresponding to the original two horizon black hole branch before the dynamical spin limit is reached. Within the present framework, this provides an additional geometry-induced condition that limits the continuation of the iterative sequence. The numerical results further show that the relative importance of the dynamical and geometry-induced termination mechanisms depends sensitively on the regularization parameter. For small deformations, the evolution remains qualitatively similar to that of the Kerr spacetime. As the regularization parameter increases, however, the cumulative extracted energy, the number of admissible Penrose iterations, and the efficiency of the process are progressively reduced. We also examine how the extracted energy, the final irreducible mass, and two complementary efficiency measures vary with both the regularization parameter and the particle decay radius. Overall, the present analysis indicates that, within the RSV geometry, the underlying spacetime structure influences not only the cumulative efficiency of the repetitive Penrose process but also the parameter range over which the iterative evolution remains self-consistent. These results highlight the role that spacetime geometry can play in shaping the long-term evolution of idealized Penrose-type energy extraction processes in regular rotating black-hole spacetimes.
Comments14 pages, 5 figures, 3 tables
