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arXiv 0707.1077gr-qchep-th
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磁应力和能量的引力

The gravity of magnetic stresses and energy

Giuseppe Bimonte, Enrico Calloni, Luigi Rosa

备注：
10 pages, final version accepted for publication in PRD
发表信息：
Phys.Rev.D77:044026,2008
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摘要：

在设计相对论引力实验的框架下，我们研究了螺线管磁场产生的引力场。观察这个场可能提供一种测试应力是否像爱因斯坦理论预测的那样引力的方法。Braginsky、Caves和Thorne之前对这个问题的研究预测，磁场和螺线管壁的应力对引力场的贡献将抵消由磁场的质能产生的引力场，导致螺线管外部的磁产生的引力为零。他们声称，一旦实验证明了这个零结果，就可以证明应力对引力的贡献。我们表明，这一结果是不正确的，因为它来自于一个不完整的分析的应力，忽略了轴向应力的墙壁。一旦对应力进行了适当的估计，我们发现长螺线管外的引力场实际上与麦克斯韦应力和材料应力无关，它与线性质量分布产生的牛顿场一致，线性质量分布等效于单位长度螺线管内储存的磁能密度。我们认为，麦克斯韦应力的重力可以直接测量的真空区域内的螺线管，在那里的牛顿噪声是不存在的原则，和由麦克斯韦应力产生的重力是不屏蔽的负重力的磁致应力在螺线管壁。

英文摘要：

In the framework of designing laboratory tests of relativistic gravity, we investigate the gravitational field produced by the magnetic field of a solenoid. Observing this field might provide a mean of testing whether stresses gravitate as predicted by Einstein's theory. A previous study of this problem by Braginsky, Caves and Thorne predicted that the contribution to the gravitational field resulting from the stresses of the magnetic field and of the solenoid walls would cancel the gravitational field produced by the mass-energy of the magnetic field, resulting in a null magnetically-generated gravitational force outside the solenoid. They claim that this null result, once proved experimentally, would demonstrate the stress contribution to gravity. We show that this result is incorrect, as it arises from an incomplete analysis of the stresses, which neglects the axial stresses in the walls. Once the stresses are properly evaluated, we find that the gravitational field outside a long solenoid is in fact independent of Maxwell and material stresses, and it coincides with the newtonian field produced by the linear mass distribution equivalent to the density of magnetic energy stored in a unit length of the solenoid. We argue that the gravity of Maxwell stress can be directly measured in the vacuum region inside the solenoid, where the newtonian noise is absent in principle, and the gravity generated by Maxwell stresses is not screened by the negative gravity of magnetic-induced stresses in the solenoid walls.

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