临界中性Gauss-Bonnet-anti-de Sitter黑洞复杂度演化  

Evolution of complexity for critical neutral Gauss-Bonnet-anti-de Sitter black holes

作　　者：梁华志 张靖仪[1] Liang Hua-Zhi;Zhang Jing-Yi(School of Physics and Materials Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学物理与材料科学学院,广州510006

出　　处：《物理学报》2021年第3期48-56,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11873025)资助的课题。

摘　　要：利用Fan和Liang(Fan Z Y,Liang H Z 2019 Phys.Rev.D 100086016)研究一般高阶导数引力复杂度的方法,对临界中性Gauss-Bonnet-anti-de Sitter(Gauss-Bonnet-anti-de Sitter,AdS)黑洞的复杂度演化进行研究,并且将研究结果和一般中性Gauss-Bonnet-AdS黑洞的结果进行了比较.研究发现,二者的复杂度演化的整体规律是一致的,它们的主要区别在无量纲的临界时间上.对于五维的临界中性Gauss-Bonnet-AdS黑洞,当黑洞视界面为平面或者球面时,不同大小的黑洞的无量纲的临界时间相同,都取到了最小值.当维度超过五维时,不同大小的球对称临界中性Gauss-Bonnet-AdS黑洞的无量纲临界时间的差异明显要比一般的情况小.这些差异很可能和中性Gauss-Bonnet-AdS黑洞的临界性有关.General Gauss-Bonnet gravity with a cosmological constant allows two anti-de Sitter(AdS)spacetimes to be taken as its vacuum solutions.It is found that there is a critical point in the parameter space where the two AdS vacuums coalesce into one,which is very different from the general Gauss-Bonnet gravity.Susskind’s team proposed a Complexity/Action duality based on AdS/CFT duality,which provides a new method of studying the complexity of black holes.Fan and Liang(Fan Z Y,Liang H Z 2019 Phys.Rev.D 100086016)gave the formula of the evolution of complexity for general higher derivative gravity,and discussed the complexity evolution of the neutral planar Gauss-Bonnet-AdS black holes in detail by the numerical method.With the method of studying the complexity of general higher derivative gravity proposed by Fan and Liang(2019),we investigate the complexity evolution of critical neutral Gauss-Bonnet-AdS black holes,and compare these results with the results of the general neutral Gauss-Bonnet-AdS black holes,showing that the overall regularities of the evolution of the complexity of these two objects are consistent,and their main difference lies in the dimensionless critical time.As for the five-dimensional critical neutral Gauss-Bonnet-AdS black holes,when the event horizon of the black holes is flat or spherical,the dimensionless critical times of black holes with different sizes are identical,all reaching their minimum values.While in the higher dimensional cases,the differences in dimensionless critical time among spherically symmetric critical neutral Gauss-Bonnet-AdS black holes with different sizes are obviously less than those of general ones.These differences are probably related to the criticality of the neutral Gauss-Bonnet-AdS black holes.

关 键 词：黑洞 临界性 复杂度 演化 

分 类 号：P145.8[天文地球—天体物理]