AI 中文总结
该论文对(2+1)维非线性电动力学耦合静态引力中的可穿越虫孔进行完整分类，揭示电磁构型而非拉格朗日量决定虫孔视界与喉，部分构型可将真空黑洞转化为虫孔。
AI 中文摘要
迄今为止，在与非线性电动力学耦合的静态(2+1)引力中报道的所有可穿越虫孔，均来自幂麦克斯韦拉格朗日量L∝|F|^k且仅取k=1/2的情况，这一选择总是使得宇宙学常数为固定符号或零。我们证明这些限制是该单一选择的人为产物，而非物理要求，并对该理论中的静态可穿越虫孔进行了完整分类。在与对称性兼容的三种互斥电磁构型中，径向电分支在任何拉格朗日量或Λ下均不允许存在喉。在其余的两个分支，即方位角电分支和磁分支中，场方程均存在两种确切的 regime：要么红移函数固定，形状函数b(r)完全自由，Λ被吸收且无约束；要么红移函数为一般形式，此时b(r)被固定。我们在两个分支中都以闭式求解了这两种 regime，并证明将拉格朗日量固定为任一单一幂次k都会迫使Λ非零，且b(r)由有限个常数决定：这种自由度要求拉格朗日量必须是真正不受限制的。一个方位角电族重现了静态BTZ质量函数，一旦由非线性场提供源，就将真空黑洞转变为虫孔。应用于唯一的共形幂麦克斯韦理论k=3/4（此前仅作为径向分支带电黑洞为人所知），同一拉格朗日量在方位角和磁分支中产生了真正的虫孔，表明决定视界与喉的是电磁构型而非拉格朗日量；玻恩-因费尔德（Born-Infeld）电动力学在任何分支中均不允许存在喉。
英文摘要
Every traversable wormhole reported so far in static (2+1) gravity coupled to nonlinear electrodynamics has come from a power-Maxwell Lagrangian L propto |F|^k restricted to k=1/2, always forcing the cosmological constant to a fixed sign or zero. We show these restrictions are artefacts of that single choice, not physical requirements, and give a complete classification of static traversable wormholes in this theory. Of the three mutually exclusive electromagnetic configurations compatible with the symmetry, the radial electric branch admits no throat for any Lagrangian or Lambda. In each remaining branch, azimuthal electric and magnetic, the field equations admit exactly two regimes: either the redshift function is fixed, leaving the shape function b(r) completely free with Lambda absorbed without constraint; or the redshift is generic, in which case b(r) becomes fixed instead. We solve both regimes in closed form in both branches, and show that fixing the Lagrangian to any single power k forces Lambda nonzero and determines b(r) up to finitely many constants: this freedom requires the Lagrangian to be genuinely unrestricted. One azimuthal-electric family reproduces the static BTZ mass function, turning the vacuum black hole into a wormhole once sourced by the nonlinear field. Applied to the unique conformal power-Maxwell theory, k=3/4, previously known only as a radial-branch charged black hole, the same Lagrangian yields genuine wormholes in the azimuthal and magnetic branches, showing the electromagnetic configuration, not the Lagrangian, decides between a horizon and a throat; Born-Infeld electrodynamics admits no throat in any branch.
Comments17 pages, 3 figures
