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arXiv 2303.00604hep-thgr-qc
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RPS热力学中的4D-EGB黑洞

4D-EGB Black Holes in RPS Thermodynamics

Y. Ladghami, B. Asfour, A. Bouali, A. Errahmani, T. Ouali

AI总结:

本文在受限相空间热力学框架下研究4D-EGB黑洞,引入Gauss-Bonnet参数共轭量并分析$T-S$过程,揭示Gauss-Bonnet项对带电及不带电黑洞热力学与Hawking-Page相变的影响。

摘要:

本文研究带电与不带电的四维Einstein-Gauss-Bonnet(4D-EGB)黑洞的热力学。研究背景是Visser全息热力学,其中anti-de Sitter半径固定而牛顿常数可变,这被称为受限相空间热力学(RPST)。我们利用AdS/CFT对应,并通过引入Gauss-Bonnet参数的共轭量来构建研究框架。借助这一ansatz,我们得出结论:乘以温度后的Gauss-Bonnet作用量表现为自由能。我们推导了RPST形式体系中与第一定律相对应的各共轭量。对$T-S$过程以及Gauss-Bonnet常数$\alpha$效应的研究表明,带电黑洞的热力学性质依赖于Gauss-Bonnet项和黑洞电荷。对于不带电黑洞,Gauss-Bonnet的效应变得至关重要,因为它会表现为一个具有有效电荷的带电黑洞。最后,我们发现Hawking-Page相变发生在大黑洞与热AdS空间之间。

英文摘要:

In this paper, we study thermodynamics of charged and uncharged 4-Dimension Einstein-Gauss-Bonnet (4D-EGB) black holes. The context of this study is the Visser's holographic thermodynamics with a fixed anti-de Sitter radius and a variable Newton constant known as restricted phase space thermodynamics (RPST). Our setup is constructed by using the AdS/CFT correspondence and by introducing a conjugate quantity of the Gauss-Bonnet parameter. By this ansatz, we conclude that the Gauss-Bonnet action multiplied by a temperature, behaves as a free energy. We derive the conjugate quantities corresponding to the first law in the RPST formalism. The study of the $T-S$ processes and the effect of the Gauss-Bonnet constant, $α$, show that thermodynamic properties of charged black holes depend on the Gauss-Bonnet term and the charge of black holes. For an uncharged black holes, the effect of Gauss-Bonnet becomes crucial, as it behaves as a charged black hole with an effective charge. Finally, we find that the Hawking-Page phase transition occurs between a large black hole and a thermal AdS space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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