极大对称全息屏上的热力学和圆锥奇点的熵
Thermodynamics on the Maximally Symmetric Holographic Screen and Entropy from Conical Singularities
摘要：
对于一般的最大对称（球对称、平面对称或双曲线对称）全息屏，在一定的条件下，我们将一般Lovelock引力的运动方程改写成某种广义热力学热力学第一定律的形式。用这个观测加上另外两个独立的方法，在屏幕上得到了完全相同的温度和熵。因此，引力的热力学解释不仅在视界上有物理意义，而且在一般的最大对称屏上也有物理意义。并在（最大对称）一般静态和动态情况下进一步检验了熵公式。熵公式也适用于这些情况。最后，利用圆锥奇点法计算了该屏上的熵，结果再次验证了熵公式。
英文摘要：
For a general maximally symmetric (spherically, plane or hyperbola symmetric) holographic screen, we rewrite the equations of motion of general Lovelock gravity into the form of some generalized first law of thermodynamics, under certain ansatz. With this observation together with other two independent ways, exactly the same temperature and entropy on the screen are obtained. So it is argued that the thermodynamic interpretation of gravity is physically meaningful not only on the horizon, but also on a general maximally symmetric screen. Moreover, the formula of entropy is further checked in the (maximally symmetric) general static case and dynamical case. The entropy formula also holds for those cases. Finally, the method of conical singularity is used to calculate the entropy on such screen, and the result again confirms the entropy formula.
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