论文标题
在广告的热力学上，黑色孔带标量头发
On Thermodynamics of AdS Black Holes with Scalar Hair
论文作者
论文摘要
众所周知，在存在标量头发的情况下，对黑洞热力学的第一定律会有明显的额外贡献。尽管已经在许多示例中进行了检查，但对此问题有更深入的了解。通过使用标准的全息重质化程序和通过Wald形式主义的标准全息重质化程序和Hamiltonian的变化，研究了爱因斯坦 - 量表重力中广告黑洞的热力学。发现第一定律需要通过包括一个具有特定表格的$ \ sim \ weft <o \ right> δϕ_s $的额外术语来修改，并带有$ ϕ_s $和$ \ weft <o \ right> $一对新的热力学共轭变量。 $ ϕ_s $是广告边界附近标量场渐近差的主要源术语，而$ \ weft <o \ right> $正是从全息视图的双标量算子的响应。一些毛茸茸的黑洞是明确构造的，以检查热力学的第一定律以及热力学关系。
It has been known that in the presence of a scalar hair there would be a distinct additional contribution to the first law of black hole thermodynamics. While it has been checked in many examples, a deeper understanding of this issue is necessary. The thermodynamics of AdS black holes in Einstein-scalar gravity is studied by using the standard holographic renormalization procedure and the variation of the Hamiltonian via the Wald formalism. It is found that the first law requires a modification by including an additional term that has a particular form $\sim\left<O\right>δϕ_s$, with $ϕ_s$ and $\left<O\right>$ a new pair of thermodynamic conjugate variables. $ϕ_s$ is the leading source term of the asymptotic fall-off of the scalar field near the AdS boundary, and $\left<O\right>$ is precisely the response of the dual scalar operator from the holographic point of view. Some hairy black holes are constructed explicitly to check the first law of thermodynamics as well as the thermodynamic relations.
