一般的中性Gauss-Bonnet-AdS黑洞复杂度演化  

The evolution of complexity for general neutral Gauss-Bonnet black holes

作　　者：梁华志 张靖仪[1] Liang Huazhi;Zhang Jingyi(School of Physics and Electronic Engineering,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学物理与电子工程学院,广东广州510006

出　　处：《湖南文理学院学报（自然科学版）》2020年第2期26-33,64,共9页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：国家自然科学基金资助项目(11873025)。

摘　　要：一直以来,想要直接计算黑洞复杂度是十分困难的事情。Brown等基于全息引力,提出了复杂度-作用量对偶,把研究黑洞复杂度问题归结为对引力作用量的计算。由此黑洞复杂度的研究得到了很大发展,一些黑洞的复杂度的精确的全时演化的结果已经得到。Fan等给出了一般高阶导数引力复杂度演化的结果,并对平面的中性Gauss-Bonnet-AdS黑洞复杂度的演化进行了详细讨论,但结果仅限于黑洞视界面为平面的情况。本文在Fan等工作的基础上,利用一般高阶导数引力复杂度计算公式,对一般的中性Gauss-Bonnet-AdS黑洞复杂度的演化进行了计算,并利用数值方法,画出了黑洞复杂度演化图和微分图。通过比较找出了不同视界面几何的中性Gauss-Bonnet-AdS黑洞复杂度演化的共同点和差异。可以证明,当黑洞视界面为平面时,本文结果和Fan等文章里关于中性Gauss-Bonnet-AdS黑洞复杂度的讨论完全一致。As always,it is very difficult to calculate the complexity of black holes directly.Based on holographic gravity,Brown et al.proposed Complexity-Action duality,that reduced the problem of black holes complexity to the calculation of gravitational action.Thus the study of black holes complexity has been greatly developed,and precise global evolution of complexity for some black holes has been obtained.Fan et al.gave the results of the evolution of complexity for general higher derivative gravities,and discussed in detail the evolution of complexity for plane neutral Gauss-Bonnet-Ad S black holes,but the results is limited to the case where the horizon of the black hole is a plane.On the basis of Fan et al.’s work,this paper calculated the evolution of complexity for general neutral Gauss-Bonnet-Ad S black holes by using the complexity calculation formula of general higher derivative gravities,and drew the evolution diagram and differential diagram of the complexity of the black holes by using the numerical approach.The similarities and differences in the complexity evolution of neutral Gauss-Bonnet-AdS black holes with different horizon geometries were found by comparison.It can be proved that when the horizon of the black hole is flat,the results of this paper are completely consistent with the discussion on the complexity of neutral Gauss-Bonnet-AdS black holes in Fan et al.

关 键 词：高阶导数引力 黑洞 复杂度 演化 

分 类 号：O412.1[理学—理论物理]