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arXiv 2007.00277hep-thgr-qc
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静态球对称黑洞的Einstein-Maxwell-Yang-Mills-Stokes理论解

Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory

M. M. Stetsko

摘要:

在Einstein-Maxwell-Yang-Mills-Einstein理论下,导出了静态球对称黑洞的解。所得到的解决方案进行检查,特别是,我们已经计算的Kretschmann标量,使我们能够表征奇点。利用所得到的黑洞解,我们研究了它的热力学。即计算温度,写出第一定律,研究热容。利用扩展热力学方法得到了状态方程。在扩展热力学的吉布斯自由能推导和研究。Gibbs自由能分析表明,在低于临界温度时,除了一级相变外,还发生了零级相变,这是其它类型的具有介子场的黑洞的典型现象.最后,我们证明了临界指数取与其他类型的玻色子黑洞相同的值。

英文摘要:

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.

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