We present a static and axisymmetric traversable wormhole spacetime with vanishing Arnowitt-Deser-Misner (ADM) mass which is characterized by a length parameter l and a deformation parameter a and reduces to the massless Kerr vacuum wormhole as l → 0. The spacetime is analytic everywhere and regularizes a ring-like conical singularity of the massless Kerr wormhole by virtue of a localized exotic matter which violates the standard energy conditions only near the wormhole throat. In the spherically symmetric case (a = 0), the areal radius of the wormhole throat is exactly l and all the standard energy conditions are respected outside the proper radial distance approximately 1.60l from the throat. While the curvature at the throat is beyond the Planck scale if l is identical to the Planck length l _p, our wormhole may be a semi-classical model for l ≃ 10l _p. With l = 10l _p, the total amount of the negative energy supporting this wormhole is only E ≃ −26.5m _p c ², which is the rest mass energy of about −5.77 × 10⁻⁴ g. It is shown that the geodesic behavior on the equatorial plane does not qualitatively change by the localization of an exotic matter.

中文翻译：

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仅在普朗克尺度附近违反能量条件的简单可穿越虫洞

我们提出了一个具有消失的 Arnowitt-Deser-Misner (ADM) 质量的静态和轴对称可穿越虫洞时空，其特征在于长度参数升和变形参数A并简化为无质量的克尔真空虫洞升→ 0. 时空处处是解析的，并且借助于仅在虫洞喉部附近违反标准能量条件的局部奇异物质，使无质量克尔虫洞的环状圆锥奇点规则化。在球对称情况下（A= 0), 虫洞喉部的面积半径正好升在大约 1.60 的适当径向距离之外，所有标准能量条件都得到遵守升从喉咙。而喉部的曲率超出了普朗克尺度，如果升与普朗克长度相同升 _p，我们的虫洞可能是一个半经典模型升≃ 10升 _p . 和升= 10升 _p , 支撑这个虫洞的负能量总量只有乙≃ −26.5米 _p C ^{2 ，这是约 -5.77 × 10 -4}  g的静止质量能量。结果表明，赤道平面上的测地线行为不会因外来物质的定位而发生质的变化。