存在重力梯度时引力诱导的有效光子质量
Gravity induced effective photon mass in the presence of gravity gradient
AI总结：
本文研究局部惯性系中重力梯度在牛顿极限下诱导的有效光子质量，发现其平方正比于局部重力梯度，在不稳定平衡处变为快子型，并证明该处出现温度由重力梯度决定的热辐射浴。
摘要：
几何与引力诱导的有效光子质量已知会在许多情形中出现，例如各种光学波导、Kaluza-Klein理论以及许多其他光学和广义相对论情境。本文研究在局部惯性参考系中，由于存在重力梯度而在牛顿极限下出现的有效光子质量。有效光子质量的平方似乎正比于局部重力梯度，并且在不稳定平衡位置附近变为快子型。在Kottler-Moller时空中也观察到类似效应，其中引力诱导的有效光子质量的绝对值似乎与Unruh温度一致。我们证明，与Unruh效应类似，在不稳定平衡附近可观测到热辐射浴，其温度由局部重力梯度定义，并且在无限光速极限下保持不变。
英文摘要：
Geometry and gravity induced effective photon mass is known to arise in many cases, such as various optical waveguides, Kaluza-Klein theories, and many other optical and general relativity situations. Here we study the appearance of effective photon mass in the Newtonian limit due to the presence of gravity gradient in a locally inertial reference frame. The effective photon mass squared appears to be proportional to the local gravity gradient, and it becomes tachyonic around unstable equilibrium locations. A similar effect is observed in the Kottler-Moller spacetime where the absolute value of the gravity-induced effective photon mass appears to coincide with the Unruh temperature. We demonstrate that similar to Unruh effect, a bath of thermal radiation is observed near the unstable equilibrium, which temperature is defined by the local gravity gradient, and which remains unchanged in the limit of infinite light velocity.
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