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Simple traversable wormholes violating energy conditions only near the Planck scale
Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2022-03-18 , DOI: 10.1088/1361-6382/ac586b Hideki Maeda 1
Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2022-03-18 , DOI: 10.1088/1361-6382/ac586b Hideki Maeda 1
Affiliation
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:
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。
更新日期:2022-03-18
中文翻译:
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