Bronnikov-Kim 膜世界黑洞与虫洞的长寿命振铃
Long-lived ringing of Bronnikov--Kim brane-world black holes and wormholes
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- Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia (RUDN University)（俄罗斯人民友谊大学引力与宇宙学研究所）
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中文总结 AI 辅助
本研究在 Bronnikov-Kim 膜世界几何中，通过两种数值方法发现黑洞与虫洞均存在长寿命大质量场振铃，实频率消失现象依赖于度量或分支。
中文摘要 AI 辅助
黑洞与虫洞背景下的大质量场微扰可形成长寿命的准正则振铃；该行为并非仅局限于膜世界时空，也并非在所有致密天体几何中普遍存在。近期一项针对膜世界黑洞的研究报道了一种异常的极限行为：当标量质量增大时，振荡的实频率趋于零。我们在 Bronnikov-Kim 有效膜世界几何中检验该现象的普适性，研究同一几何族的黑洞侧与虫洞侧。对比采用两种互补数值方法：针对黑洞侧，将第二族 Bronnikov-Kim 的波动方程约化为有理形式后使用 Leaver 连分数法；针对规则虫洞喉部使用切比雪夫伪谱配点法。第二族 Bronnikov-Kim 黑洞呈现标准准共振模式：所考虑的标量分支阻尼率变得极小，但实频率保持有限。来自第一族和第二族 Bronnikov-Kim 的典型虫洞也会产生寿命越来越长的大质量标量模式，将第二族虫洞的扫描扩展到更大场质量时，其阻尼率比无质量情况降低超过4倍。因此，本研究中发现的稳健膜世界效应是黑洞与虫洞中均存在长寿命大质量场振铃，而实频率的消失则依赖于度量或分支。
英文摘要
Massive-field perturbations on black-hole and wormhole backgrounds can form long-lived quasinormal ringing; this behaviour is not confined to brane-world spacetimes, but it is also not universal across compact-object geometries. Recent work on a brane-world black hole reported an unusual limiting behaviour in which the real oscillation frequency tends to zero as the scalar mass grows. We test how general this phenomenon is in the Bronnikov--Kim effective brane-world geometries, treating both the black-hole and wormhole sides of the same families. The comparison uses two complementary numerical treatments: Leaver's continued-fraction method for the black-hole side, after reducing the wave equation for the second Bronnikov--Kim family to rational form, and Chebyshev pseudospectral collocation for regular wormhole throats. The black hole of the second Bronnikov--Kim family shows the standard quasi-resonant pattern: the damping rates of the scalar branches considered here become very small, but the real frequencies remain finite. Representative wormholes from the first and second Bronnikov--Kim families also develop increasingly long-lived massive scalar modes, and extending the second-family wormhole scan to larger field mass reduces the damping by more than a factor of four relative to the massless case. Thus the robust brane-world effect found here is the appearance of long-lived massive-field ringing in both black holes and wormholes, whereas the vanishing of the real frequency is metric- or branch-dependent.
