论文标题
静态球形对称黑洞的解决方案
Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
论文作者
论文摘要
在这项工作中，在Einstein-Maxwell-Yang-Mills-Dilaton理论中，静态的球形对称黑洞的溶液得出了。特别是对所获得的解决方案进行了研究，我们已经计算了Kretschmann标量，从而使我们能够表征奇异点。使用获得的黑洞溶液，我们研究了其热力学。也就是说，计算了温度，写了第一定律，并研究了热容量。扩展的热力学方法用于获得状态方程。在扩展的热力学中，吉布斯自由能得出和研究。 Gibbs自由能的分析表明，除了一阶相变的临界温度以下外，还发生了零相转换，这是其他类型的具有Dilaton场的黑洞的典型情况。最后，我们已经表明，关键指数的值与其他类型的Dilaton黑洞相同。
In this work a static spherically symmetric black hole's solution within the Einstein-Maxwell-Yang-Mills-dilaton theory is derived. The obtained solution is examined, in particular, we have calculated the Kretschmann scalar which allowed us to characterize singularity points. Using the obtained black hole's solution we have studied its thermodynamics. Namely, the temperature was calculated, the first law was written, and the heat capacity was studied. The extended thermodynamics approach is utilized to obtain the equation of state. Within the extended thermodynamics the Gibbs free energy is derived and investigated. The analysis of the Gibbs free energy shows that below the critical temperature besides the first order phase transition in addition the zeroth order phase transition occurs, what is typical for other types of black holes with dilaton fields. Finally, we have shown that the critical exponents take the same values as for other types of the dilaton black holes.
