论文标题
具有非线性麦克斯韦的静态延伸黑洞和朝米米尔斯的幂律类型领域
Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
论文作者
论文摘要
静态球形对称黑洞溶液是在爱因斯坦 - 迪拉顿理论的框架中获得的，具有非线性麦克斯韦和幂律类型的杨米尔斯领域。可以观察到黑洞可能具有两个范围，因为它用于线性量规场的情况。研究了黑洞的热力学，即对温度的行为进行了研究，并写了第一定律。还利用了扩展相空间的概念，即我们已经编写并分析了黑洞的状态方程并检查了Gibbs自由能。 Gibbs自由能表明，如果温度或压力低于其临界值，并且耦合参数相对较小，则存在一阶相变。耦合参数的增加可能会导致域的外观，而零体相变的存在，后者的存在特定于其他类型的Dilatonic黑洞。已经计算出prigogine-defay比率，它表明在临界点，相变不完全是二阶，它更接近玻璃型相变，因为prigogine-defay比率不等于一个。
Static spherically symmetric black hole solution is obtained in the framework of Einstein-dilaton theory with nonlinear Maxwell and Yang-Mills fields of power-law type. It is observed that black hole might have two horizons similarly as it takes place for linear gauge fields case. Thermodynamics of the black hole is studied, namely the behaviour of temperature is examined and the first law is written. The concept of extended phase space is also utilized, namely we have written and analyzed the equation of state for the black hole and examined the Gibbs free energy. The Gibbs free energy shows that there is the first order phase transition if the temperature or the pressure are below their critical values and coupling parameters are relatively small. Increasing of the coupling parameters might give rise to appearance of a domain with the zeroth order phase transition, the existence of the latter one is specific for other types of dilatonic black holes. Prigogine-Defay ratio has been calculated, it shows that at the critical point the phase transition is not exactly of the second order, it is closer to the glass-type phase transition since the Prigogine-Defay ratio is not equal to one.
