论文标题
爱因斯坦驱动的阳式阳离子 - 米尔斯 - 迪拉顿理论中的静态球形对称黑洞及其热力学的某些方面
Static spherically symmetric black hole in Einstein-power-Yang-Mills-dilaton theory and some aspects of its thermodynamics
论文作者
论文摘要
在爱因斯坦驱动器阳米尔斯 - 迪拉顿理论的框架中获得并检查了静态的球形对称解。为了得出此精确的解决方案,请考虑Dilaton电位$ V(φ)$。还研究了黑洞的热力学,即我们获得并研究了黑洞的温度和热容量,这使我们表征了黑洞的稳定性。使用扩展热力学相空间的框架,我们得出了黑洞的状态方程。我们研究了黑洞的吉布斯自由能,该能量的行为与其他带有DILATON场的黑洞相似。为了表征临界点附近黑洞的热行为,我们编写了Ehrenfest方程并计算了Prigogine-defay比率。
A static spherically symmetric solution is obtained and examined in the framework of Einstein-power-Yang-Mills-dilaton theory. To derive this exact solution a dilaton potential $V(Φ)$ is taken into account. Thermodynamics of the black hole is also studied, namely we have obtained and investigated the temperature and heat capacity of the black hole which has allowed us characterize the stability of the black hole. Using the framework of the extended thermodynamic phase space we have derived the equation of state for the black hole. We have studied the Gibbs free energy of the black hole, which has the behaviour similar for other black holes with dilaton fields. To characterize the thermal behaviour of the black hole near the critical point we have written the Ehrenfest's equations and calculated Prigogine-Defay ratio.