论文标题
在动态范围内的局部熵产生的重复对称对称性
Reparametrization Symmetry of Local Entropy Production on a Dynamical Horizon
论文作者
论文摘要
最近，已经表明，对于任何较高的衍生性重力理论中的动态黑洞，只要振幅的动力学足够小，就可以构造一个空间熵电流，以表征地平线上每个点的熵内/流出。但是，该结构在很大程度上取决于我们如何选择地平线沿其空发电机的空间切片。在本说明中，我们已经表明，尽管熵密度和空间熵电流在零发电机的重新训练下，净熵产生的净熵产生，熵密度的“时间”衍生物给出，而空间电流的差异是不变的。我们已经明确验证了这种动态黑洞的特定情况爱因斯坦 - 加斯 - 鲍斯 - 尼特理论的主张。
Recently, it has been shown that for a dynamical black hole in any higher derivative theory of gravity, one could construct a spatial entropy current, characterizing the in/outflow of entropy at every point on the horizon, as long as the dynamics of the amplitude is small enough. However, the construction is very much dependent on how we choose the spatial slicing of the horizon along its null generators. In this note, we have shown that though both the entropy density and the spatial entropy current change non-trivially under a reparametrization of the null generator, the net entropy production, which is given by the `time' derivative of entropy density plus the divergence of the spatial current is invariant. We have explicitly verified this claim for the particular case of dynamical black holes Einstein-Gauss-Bonnet theory.
