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Gravity Effects on Charged Accelerating AdS Black Holes Using Holographic Tools
Advances in High Energy Physics ( IF 1.5 ) Pub Date : 2020-08-28 , DOI: 10.1155/2020/4092730
Adil Belhaj 1 , Hasan El Moumni 2 , Karima Masmar 3
Affiliation  

We investigate numerically gravity effects on certain AdS/CFT tools including holographic entanglement entropy and two-point correlation functions for a charged single accelerated Anti-de Sitter black hole in four dimensions. We find that both holographic entanglement entropy and two-point correlation functions decrease by increasing the acceleration parameter , matching perfectly with literature. Taking into account the gravity parameter , the decreasing scheme of the holographic quantities persist. However, we observe a transition-like point where the behavior of the holographic tools changes. Two regions meeting at such a transit-like point are shown up. In such a nomination, the first one is associated with slow accelerating black holes while the second one corresponds to a fast accelerating solution. In the first region, the holographic entanglement entropy and two-point correlation functions decrease by increasing the parameter. However, the behavioral situation is reversed in the second one. Moreover, a cross-comparison between the entropy and the holographic entanglement entropy is presented, providing another counterexample showing that such two quantities do not exhibit similar behaviors.

中文翻译:

使用全息工具对带电加速AdS黑洞的重力影响

我们研究了在某些AdS / CFT工具上的数字重力效应,包括全息纠缠熵和二维带电单加速Anti-de Sitter黑洞的两点相关函数。我们发现,通过增加加速度参数全息纠缠熵和两点相关函数都减小与文献完美匹配。考虑到重力参数全息数量的减少方案仍然存在。但是,我们观察到全息工具的行为发生变化的类似过渡的点。显示了在这种过境点相遇的两个区域。在这种提名中,第一个与缓慢加速的黑洞相关联,而第二个则与快速加速的解决方案相对应。在第一区域中,通过增加参数,全息纠缠熵和两点相关函数减小。但是,行为情况在第二种情况中是相反的。此外,提出了熵和全息纠缠熵之间的交叉比较,提供了另一个反例,表明这两个量没有表现出相似的行为。
更新日期:2020-08-28
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