用无穷小坐标变换求视界的热度和热含量
Thermality and Heat Content of horizons from infinitesimal coordinate transformations
摘要：
静态视界的热性质（如熵S、热含量TS等）可以从Einstein-Hilbert作用量的表面项或通过计算Noether荷得到，对应于类时Killing向量场产生的非同态。我们表明，对于广泛的一类几何形状，可以得到相同的结果，使用向量场，产生一个无穷小的坐标变换之间的两个物理相关的参考系，即自由落体帧附近的地平线和静态，加速，帧。特别地，从惯性坐标系到匀加速坐标系的无穷小坐标变换可以用来获得Rindler视界的热含量和熵。这一结果提供了深入了解观察者依赖的自由度，有助于零表面的熵。
英文摘要：
Thermal properties of a static horizon, (like the entropy S, heat content TS etc.) can be obtained either from the surface term of the Einstein-Hilbert action or by evaluating the Noether charge, corresponding to the diffeomorphisms generated by the timelike Killing vector field. We show that, for a wide class of geometries, the same results can be obtained using the vector field which produces an infinitesimal coordinate transformation between two physically relevant reference frames, viz. the freely falling frame near the horizon and the static, accelerated, frame. In particular, the infinitesimal coordinate transformation from inertial coordinates to uniformly accelerated frame can be used to obtain the heat content and entropy of the Rindler horizon. This result offers insight into understanding the observer dependent degrees of freedom which contribute to the entropy of null surfaces.
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