Nonlocality and gravitoelectromagnetic duality
Nonlocality and gravitoelectromagnetic duality
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DOI：
10.1103/physrevd.104.024018
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发表时间：
2021-03
影响因子：
5
通讯作者：
Jens Boos;I. Kolář
中科院分区：
文献类型：
--
作者：
Jens Boos;I. Kolář
广义相对论的弱场史瓦西解和NUT解是引力电磁对偶的，除了在正z轴上。非定域性的存在削弱了这种对偶性，并在正z轴周围的涂抹区域内违反了它，其典型的横向尺寸由非定域性的尺度给出。我们恢复一个精确的非局部引力电磁对偶无处不在通过一个明显的对偶修改的线性化非局部场方程。在非定域性消失的极限下，我们恢复了弱场广义相对论的著名结果。
The weak-field Schwarzschild and NUT solutions of general relativity are gravitoelectromagnetically dual to each other, except on the positive z-axis. The presence of non-locality weakens this duality and violates it within a smeared region around the positive z-axis, whose typical transverse size is given by the scale of non-locality. We restore an exact non-local gravitoelectromagnetic duality everywhere via a manifestly dual modification of the linearized non-local field equations. In the limit of vanishing non-locality we recover the well-known results from weak-field general relativity.