论文标题
在黑洞热力学的光线表面上
On light surfaces in black hole thermodynamics
论文作者
论文摘要
我们在一个由光表面及其频率确定的新框架中讨论了经典黑洞（BH）热力学的基本原理。这种新方法使我们能够研究Kerr几何形状内的BH过渡。在BHS的情况下，我们以最大可提取旋转能或相应的不可减至的质量引入了公制的新参数化，这是自旋参数化的替代方法。 事实证明，用自旋$ A/m = \ sqrt {8/9} $和$ a/m = 1/\ sqrt {2} $在旋转能量提取和表面重力中显示异常，而情况的$ a/m a/m = \ sqrt {3}/2 $是特定相关效果的变体。我们发现BH过渡可能发生的一般条件，并根据初始和最终状态的质量表达它们。这表明Kerr几何形状中的BH转变不是任意的，而取决于初始状态和最终状态的质量和自旋之间的关系。从观察的角度来看，我们认为在BH杆附近，可以检测具有特征在这项工作中分析的光表面的频率的光子轨道。
We discuss the fundamentals of classical black hole (BH) thermodynamics in a new framework determined by light surfaces and their frequencies. This new approach allows us to study BH transitions inside the Kerr geometry. In the case of BHs, we introduce a new parametrization of the metric in terms of the maximum extractable rotational energy or, correspondingly, the irreducible mass, which is an alternative to the spin parametrization. It turns out that BH spacetimes with spins $a/M= \sqrt {8/9}$ and $a/M=1/\sqrt{2}$ show anomalies in the rotational energy extraction and surface gravity whereas the case $a/M=\sqrt{3}/2$ is of particular relevance to study the variations of the horizon area. We find the general conditions under which BH transitions can occur and express them in terms of the masses of the initial and final states. This shows that BH transitions in the Kerr geometry are not arbitrary but depend on the relationship between the mass and spin of the initial and final states. From an observational point of view, we argue that near the BH poles it is possible to detect photon orbits with frequencies that characterize the light surfaces analyzed in this work.
