旋转四维爱因斯坦-高斯-博内黑洞中的重复彭罗斯过程
Repetitive Penrose Process in Rotating 4D Einstein-Gauss-Bonnet Black Holes
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中文总结 AI 辅助
研究旋转四维爱因斯坦-高斯-博内黑洞中中性粒子的重复彭罗斯过程及非线性迭代方案，通过施加条件获守恒方程解，发现耦合对黑洞相关特性有影响，能量投资回报率与利用效率呈现特定变化规律，有别于其他黑洞情形。
中文摘要 AI 辅助
我们研究了通过改进的纽曼-贾尼斯算法得到的旋转四维爱因斯坦-高斯-博内黑洞中中性粒子的重复彭罗斯过程，开发了一种非线性迭代方案，每次提取事件后更新质量、角动量和不可约质量。施加三重转折点条件，我们得到了能量、角动量和径向动量守恒方程的封闭形式解，在耦合消失的极限下简化为克尔结果。该背景的独特之处在于，尽管高斯-博内耦合α是作用量的固定常数，且不被下落碎片携带，但无量纲耦合\(\hat\alpha=\alpha/M^{2}\)随着质量减小在每次迭代时增长，因此有效高斯-博内修正沿序列自我放大。我们发现，较大的耦合会降低极值自旋、收缩能层并减少可允许的衰变次数，在强耦合下禁止视界附近的过程，而在较大衰变半径处允许；终止始终由入射粒子控制。能量投资回报率随\(\hat\alpha\)单调下降，不可约质量的增长相对于克尔受到抑制，而能量利用效率是非单调的：在临界耦合以下，参数空间呈现四区结构，有一个有界窗口，其中爱因斯坦-高斯-博内黑洞比克尔更有效；在临界耦合以上，这种四区结构坍缩为三区结构。这种由耦合驱动的效率格局重组在克尔、雷斯纳-诺德斯特龙、克尔-德西特、加速克尔或克尔-纽曼情形中没有类似情况。
英文摘要
We investigate the repetitive Penrose process for neutral particles in a rotating four-dimensional Einstein--Gauss--Bonnet black hole obtained through the modified Newman--Janis algorithm, developing a nonlinear iterative scheme in which the mass, angular momentum, and irreducible mass are updated after each extraction event. Imposing the triple turning-point condition, we obtain a closed-form solution of the conservation equations for energy, angular momentum, and radial momentum that reduces to the Kerr result in the limit of vanishing coupling. The distinctive feature of this background is that, although the Gauss--Bonnet coupling $α$ is a fixed constant of the action and is not carried by the infalling fragments, the dimensionless coupling $\hatα=α/M^{2}$ grows at every iteration as the mass decreases, so that the effective Gauss--Bonnet correction is self-amplified along the sequence. We find that a larger coupling lowers the extremal spin, contracts the ergosphere, and reduces the number of admissible decays, forbidding the process near the horizon at strong coupling while permitting it at larger decay radii; the termination is controlled throughout by the incident particle. The energy return on investment decreases monotonically with $\hatα$ and the growth of the irreducible mass is suppressed relative to Kerr, whereas the energy utilization efficiency is non-monotonic: below a critical coupling the parameter space exhibits a four-region structure with a bounded window in which the EGB black hole is more efficient than Kerr; this four-region structure collapses into a three-region one above a critical coupling. This coupling-driven reorganization of the efficiency landscape has no analogue in the Kerr, Reissner--Nordström, Kerr--de~Sitter, accelerating Kerr, or Kerr--Newman cases.
