论文标题
调查Horndeski重力中的线性第二定律
Investigating the Linearized Second Law in Horndeski Gravity
论文作者
论文摘要
由于非最小耦合标量场将修改Horndeski重力中固定黑洞的熵，因此可以提出，Wald熵是否仍然遵守黑洞热力学的第二定律，这是一个重大问题。为了调查这个问题，一个物理过程是，霍恩德斯基重力中的黑洞受到积累物质领域的影响，最后考虑到固定状态。根据两个假设，即背景时空中有规则的分叉表面，并且物质场始终满足无效的能量条件，可以表明，在线性阶数近似值下，WALD熵单调沿未来的事件范围内增加，而没有任何特定的指标表达。它表明，在Horndeski引力理论中，黑洞的Wald熵仍然遵守线性化第二定律的要求。我们的工作加强了霍德斯基重力中沃尔德熵的物理解释，并迈出了研究区域的一步，在重力理论中使用非最小耦合物质领域增加了定理。
Since the entropy of stationary black holes in Horndeski gravity will be modified by the non-minimally coupling scalar field, a significant issue of whether the Wald entropy still obeys the linearized second law of black hole thermodynamics can be proposed. To investigate this issue, a physical process that the black hole in Horndeski gravity is perturbed by the accreting matter fields and finally settles down to a stationary state is considered. According to the two assumptions that there is a regular bifurcation surface in the background spacetime and that the matter fields always satisfy the null energy condition, one can show that the Wald entropy monotonically increases along the future event horizon under the linear order approximation without any specific expression of the metric. It illustrates that the Wald entropy of black holes in Horndeski gravitational theory still obeys the requirement of the linearized second law. Our work strengthens the physical explanation of Wald entropy in Horndeski gravity and takes a step towards studying the area increase theorem in the gravitational theories with non-minimal coupled matter fields.
