AI 中文总结
本文提出无电荷的真实克尔-贝托蒂-罗宾逊（Kerr-BR）黑洞的热力学描述，通过重标度等方法恢复真空克尔解的热力学量，将该时空转化为类克尔形式。
AI 中文摘要
我们提出了真实克尔-贝托蒂-罗宾逊（Kerr-BR）黑洞时空的热力学描述。与此前的研究不同，这类解不再带有电荷，因此其热力学由简单的关系支配。具体而言，在为类时基灵矢量引入合适的归一化因子后，这类时空具有标准霍金温度、贝肯斯坦熵、科马尔质量、角动量以及视界角速度。对应的质量满足标准的克里斯托杜洛-鲁菲尼公式，以及标准的热力学第一定律和斯马尔关系。事实上，通过对坐标和解参数进行适当重标度，并在非平凡参数空间约束下，我们形式上恢复了真空克尔解的热力学量，这一过程将真实Kerr-BR时空转化为类克尔形式。
英文摘要
We propose a thermodynamic description of the genuine Kerr-Bertotti-Robinson (Kerr-BR) black hole spacetimes. Contrary to previous studies, such solutions no longer have electric charge. Consequently, the thermodynamics is governed by simple relations. Namely, upon introducing a suitable normalization factor for the timelike Killing vector, these spacetimes are characterized by the standard Hawking temperature, Bekenstein's entropy, Komar mass and angular momentum, and horizon angular velocity. The corresponding mass is shown to obey the standard Christodoulou-Ruffini formula, along with the standard first law and Smarr relations. In fact, by a proper rescaling of coordinates and solution parameters, and up to a non-trivial parameter space constraint, we formally recover the thermodynamic quantities of the vacuum Kerr solution. This is used to bring the genuine Kerr-BR spacetime into a Kerr-like form.
Comments8 pages, 3 figures
