论文标题
黑洞熵和边界条件
Black Hole Entropy and Boundary Conditions
论文作者
论文摘要
众所周知，为了使该动作定义得很好，可以使用不同种类的边界条件（BC），并伴随着适当的长臂猿 - 鹰（GHY）术语。在本文中，我们研究了选定的BC和相应的GHY项在黑洞（BH）熵上的作用。我们的结果表明，无论BC的种类如何，在所有情况下，BH熵与在Wald公式或半古典近似方法中获得的BH熵相同。我们以$ f（r）$ - 重力和一般相对（GR）为特殊模型的Schwarzschild解决方案。
It is well-known that in order to make the action well defined, one may employ different kinds of boundary conditions (BCs) accompanied by the appropriate Gibbons-Hawking-York (GHY) terms. In this paper we investigate the role of the selected BC and the corresponding GHY terms on the black hole (BH) entropy. Our result shows, regardless of the kind of BC, the BH entropy in all cases is the same as one obtained under Dirichlet BC from Wald formula or semi-classical approximation method. We considered the Schwarzschild solution for $f(R)$-gravity and general relativity (GR) in standard dimensions as special models.
