局域化Kalb-Ramond虫洞的慢旋转：Wald荷与分数四极毛发
Slow rotation of a localized Kalb-Ramond wormhole: Wald charges and fractional quadrupolar hair
- New Uzbekistan University（新乌兹别克斯坦大学）
- Institute of Fundamental and Applied Research, National Research University TIIAME（国立研究大学TIIAME基础与应用研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文构建了Kalb-Ramond虫洞的慢旋转解，发现其具有零ADM质量、有限角动量及分数四极毛发，揭示了荷与多极渐近性的分离。
AI中文摘要：
我们构建了一个作用量一致的慢旋转分支，直至二阶，用于一个由幻影标量场、标量局域化径向弦扇区以及一个与Ricci标量和Ricci张量均非最小耦合的Kalb-Ramond二阶张量场支持的可行穿越虫洞。对于正则基准分支，协变渐近分析显示ADM质量为零，而一阶轴性模式携带有限的Iyer-Wald角动量。角荷的非最小贡献在无穷远处衰减，因此角动量的协变定义与度规定义一致。在二阶，未解析出非零质量修正；在固定渐近标量荷下，旋转增大了喉部面积并使喉部变为扁球形。最显著的结果出现在四极扇区。一个长程极向Kalb-Ramond响应与局域化背景耦合，产生一个由物质支持的度规尾部，其衰减比普通真空四极更慢。相同的非整数层级出现在曲率中，并降低了空间无穷远处共形完备化的可微性。因此，Geroch-Hansen和渐近笛卡尔质心四极构造在其标准光滑形式下不适用于该分支，尽管其全局质量和角动量荷仍然定义良好。这将荷层面的渐近平坦性与光滑多极渐近性区分开来，并将分数Kalb-Ramond毛发识别为基准解的主要旋转四极特征。
英文摘要：
We construct an action-consistent slow-rotation branch, through second order, for a traversable wormhole supported by a phantom scalar, a scalar-localized radial string sector, and a Kalb-Ramond two-form coupled nonminimally to both the Ricci scalar and Ricci tensor. For the regular benchmark branch, covariant asymptotic analysis shows a vanishing ADM mass, while the first-order axial mode carries finite Iyer-Wald angular momentum. The nonminimal contributions to the angular charge decay at infinity, so the covariant and metric definitions of angular momentum agree. At second order, no nonzero mass correction is resolved; at fixed asymptotic scalar charge, rotation increases the throat area and makes the throat oblate. The most distinctive result arises in the quadrupolar sector. A long-range polar Kalb-Ramond response couples to the localized background and generates a matter-supported metric tail that decays more slowly than the ordinary vacuum quadrupole. The same noninteger hierarchy appears in curvature and reduces the differentiability of the conformal completion at spatial infinity. Consequently, the Geroch-Hansen and asymptotically Cartesian mass-centered quadrupole constructions are not applicable in their standard smooth form to this branch, even though its global mass and angular-momentum charges remain well defined. This separates charge-level asymptotic flatness from smooth multipolar asymptotics and identifies fractional Kalb-Ramond hair as the leading rotational quadrupolar signature of the benchmark solution.
