对称引力的静电类比
An Electrostatic Analogy for Symmetron Gravity
摘要：
玻色子模型是一种标量-张量引力理论，其屏蔽机制抑制了玻色子场在太阳系和实验室尺度的高密度特性下的作用，但允许它在宇宙学尺度的低密度下以引力强度起作用。我们阐明了筛选机制表明，在准静态牛顿极限有精确的类比之间的引力和静电的强和弱屏蔽。对于强屏蔽，我们发现大的致密体的行为类似于静电学中的理想导体。基于这个类比，我们发现，在尖的或细长的物体的端部附近的场梯度增强的情况下，介子场表现出避雷针效应。一个椭球体放置在一个均匀的梯度的梯度显示，体验扭矩。根据对称性，在这种情况下不存在引力矩。因此，这种效应揭开了光子的面纱，并可能成为未来实验室实验的基础。质点和大致密体之间的引力包括对应于质点与其在大致密体中的像的相互作用的分量。在爱因斯坦引力的牛顿极限下，这些效应都没有对应物。我们讨论了变色龙引力和变色龙模型之间的相似之处，以及两者之间的差异。
英文摘要：
The symmetron model is a scalar-tensor theory of gravity with a screening mechanism that suppresses the effect of the symmetron field at high densities characteristic of the solar system and laboratory scales but allows it to act with gravitational strength at low density on the cosmological scale. We elucidate the screening mechanism by showing that in the quasi-static Newtonian limit there are precise analogies between symmetron gravity and electrostatics for both strong and weak screening. For strong screening we find that large dense bodies behave in a manner analogous to perfect conductors in electrostatics. Based on this analogy we find that the symmetron field exhibits a lightning rod effect wherein the field gradients are enhanced near the ends of pointed or elongated objects. An ellipsoid placed in a uniform symmetron gradient is shown to experience a torque. By symmetry there is no gravitational torque in this case. Hence this effect unmasks the symmetron and might serve as the basis for future laboratory experiments. The symmetron force between a point mass and a large dense body includes a component corresponding to the interaction of the point mass with its image in the larger body. None of these effects have counterparts in the Newtonian limit of Einstein gravity. We discuss the similarities between symmetron gravity and the chameleon model as well as the differences between the two.
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