发表机构
International Center for Relativistic Astrophysics Network (ICRANet); Université Libre de Bruxelles (ULB); International SOLVAY Institutes for Physics and Chemistry（国际相对论天体物理网络; 布鲁塞尔自由大学; 国际索尔维物理与化学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对Wang构建的自引力Blandford-Znajek引擎，确定其演化中不可约质量增长等未知后果，给出弱场极限下可提取能量等精确结果，完成首次不可约质量与可提取能量核算。
AI 中文摘要
Wang最近构建了一个自引力分裂单极Blandford-Znajek引擎，并得到了其长期视界质量和角动量损失率。我们确定了该演化此前未知的后果：不可约质量的增长、旋转功在出射电磁功率与视界耗散间的分配，以及从视界移除的寿命积分能量。在固定磁通量和阻抗匹配的条件下，瞬时旋转功的一半向外传输，另一半不可逆地增加视界面积。对Wang的自旋下降轨迹进行积分，我们在弱场极限下得到精确结果：A_f/A_0=√e，E_extr^H/(M_{H,0}c²)=1-exp{1/4}/√2≈0.09206；而主导最大功率的自旋通量分配则给出E_extr^H/(M_{H,0}c²)≈0.04668。这些结果首次对Wang的引擎进行了不可约质量和可提取能量的核算，将其从准局域视界量扩展到无穷远处接收的能量则需要单独的通量分析。
英文摘要
Wang recently constructed a self-gravitating split-monopole Blandford-Znajek engine and obtained its secular horizon mass and angular-momentum loss rates. We determine the previously unknown consequences of this evolution: the growth of the irreducible mass, the division of rotational work between outgoing electromagnetic power and horizon dissipation, and the lifetime-integrated energy removed from the horizon. For fixed magnetic flux and impedance matching, one half of the instantaneous rotational work is carried outward, and one half irreversibly increases the horizon area. Integrating Wang's spin-down trajectory, we find in the weak-field limit the exact results A_f/A_0=\sqrt{e} and E_{extr}^H/(M_{H,0}c^2)=1-exp{1/4}/\sqrt{2}\simeq 0.09206. The leading maximum-power spin-flux allocation instead gives E_{\rm extr}^{H}/(M_{H,0}c^2)\simeq 0.04668. These results provide the first irreducible-mass and extractable-energy accounting of Wang's engine. Their extension from quasilocal horizon quantities to energy received at infinity requires a separate flux analysis.
Comments5 pages, no figures
