发表机构
Osaka Institute of Technology; Rikkyo University; Kaichi Tokorozawa Secondary School（大阪工业大学; 立教大学; 开智所泽中学校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文构造了带NUT荷的Ellis-Bronnikov虫洞精确解，其稳态、无奇点且测地完备，并推广至渐近AdS情形，证明了哈密顿荷有限及ambi-Kähler结构。
AI 中文摘要
我们在爱因斯坦-幻影标量系统中构造了Ellis-Bronnikov虫洞的精确NUT荷推广。该解是稳态的，两端渐近平坦（局部），且无曲率奇点。它继承了Taub-NUT几何的特征，包括Dirac-Misner弦和闭合类时曲线，而Killing视界的缺失消除了视界引起的测地线无限缠绕，并使时空测地完备。通过允许幻影场具有非平凡标量势，且该势包含无穷序列的AdS真空，我们还获得了具有NUT荷的精确渐近局部AdS虫洞，该虫洞在其两个渐近端之间插值不同的真空。利用协变相空间形式主义，我们证明了在适当的标量边界条件下，与两个渐近区域相关的哈密顿荷是有限的。通过双重Wick旋转到欧几里得符号，我们证明了所得度量的共形类允许一个ambi-Kähler结构。
英文摘要
We construct an exact NUT-charged generalization of the Ellis-Bronnikov wormhole in the Einstein-phantom-scalar system. The solution is stationary, asymptotically locally flat at both ends and free of curvature singularities. It inherits characteristic features of the Taub-NUT geometry, including the Dirac-Misner string and closed timelike curves, while the absence of Killing horizons eliminates the horizon-induced infinite winding of geodesics and renders the spacetime geodesically complete. By allowing the phantom field to have a nontrivial scalar potential with an infinite sequence of AdS vacua, we also obtain an exact asymptotically locally AdS wormhole with a NUT charge, which interpolates between different vacua at its two asymptotic ends. Using the covariant phase space formalism, we show that the Hamiltonian charges associated with the two asymptotic regions are finite under appropriate scalar boundary conditions. By performing a double Wick rotation to Euclidean signature, we demonstrate that the conformal class of the resulting metric admits an ambi-Kähler structure.
Comments19 pages, 1 figure
