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首页> 外文期刊>International journal of modern physics, D. Gravitation, astrophysics, cosmology >Extended phase space of AdS black holes in Einstein-Gauss-Bonnet gravity with a quadratic nonlinear electrodynamics
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Extended phase space of AdS black holes in Einstein-Gauss-Bonnet gravity with a quadratic nonlinear electrodynamics

机译：具有二次非线性电动力学的爱因斯坦-高斯-贝内重力中的AdS黑洞的扩展相空间

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In this paper, we consider quadratic Maxwell invariant as a correction to the Maxwell theory and study thermodynamic behavior of the black holes in Einstein and Gauss-Bonnet gravities. We consider cosmological constant as a thermodynamic pressure to extend phase space. Next, we obtain critical values in case of variation of nonlinearity and Gauss-Bonnet parameters. Although the general thermodynamical behavior of the black hole solutions is the same as usual Van der Waals system, we show that in special case of the nonlinear electromagnetic field, there will be a turning point for the phase diagrams and usual Van der Waals is not observed. This theory of nonlinear electromagnetic field provides two critical horizon radii. We show that this unusual behavior of phase diagrams is due to existence of second critical horizon radius. It will be pointed out that the power of the gravity and nonlinearity of the matter field modify the critical values. We generalize the study by considering the effects of dimensionality on critical values and make comparisons between our models with their special sub-classes. In addition, we examine the possibility of the existence of the reentrant phase transitions through two different methods.
机译：在本文中，我们将二次麦克斯韦不变量视为对麦克斯韦理论的修正，并研究了爱因斯坦和高斯-邦尼引力中黑洞的热力学行为。我们认为宇宙常数是扩展相空间的热力学压力。接下来，在非线性和高斯-邦内参数变化的情况下，我们获得临界值。尽管黑洞解的一般热力学行为与常规范德华系统相同，但我们表明，在非线性电磁场的特殊情况下，相图将出现转折点，而常规范德华则未观察到。非线性电磁场的这一理论提供了两个临界水平半径。我们表明，相图的这种异常行为是由于存在第二临界水平半径。将指出，物质场的引力和非线性影响了临界值。我们通过考虑维数对临界值的影响来概括研究，并在我们的模型与它们的特殊子类之间进行比较。另外，我们通过两种不同的方法研究了折返相变存在的可能性。

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