华东师范大学学报（自然科学版） >

2019 , Vol. 2019 >Issue 2: 116 - 121

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.02.012

物理学与电子学

非线性电动力学黑洞的复杂度

  • 李莉 ,
  • 丁郁琛 ,
  • 王焘
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  • 华东师范大学 物理与材料科学学院, 上海 200241
李莉,女,硕士研究生,研究方向为理论物理.E-mail:ecnulily6138@foxmail.com.

收稿日期: 2018-01-22

  网络出版日期: 2019-03-27

基金资助

国家自然科学基金（91536218）

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Complexity of black holes in nonlinear electrodynamics

  • LI Li ,
  • DING Yu-chen ,
  • WANG Tao
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  • School of Physics and Materials Science, East China Normal University, Shanghai 200241, China

Received date: 2018-01-22

  Online published: 2019-03-27

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摘要

在Einstein引力与非线性电动力学耦合的理论中，会出现一类双视界的黑洞解，称为非线性电动力学黑洞.针对这种理论，从一般形式的作用量和球对称度规出发，计算了带电黑洞的电势以及Wheeler-DeWitt片的作用量，证明了该作用量等于内外视界上的电势差与电荷的乘积.采用Susskind等人最近提出的复杂度/作用量对偶猜想，该作用量可以解释为Anti-de Sitter边界上的量子态的计算复杂度.在Reissner-Nordstrom黑洞和Born-Infeld黑洞两种特殊情况下，利用本文得到的一般结果与文献中已有的结果完全符合.

关键词： 规范/引力对偶; 黑洞; 非线性电动力学

本文引用格式

李莉 , 丁郁琛 , 王焘 . 非线性电动力学黑洞的复杂度[J]. 华东师范大学学报（自然科学版）, 2019 , 2019(2) : 116 -121 . DOI: 10.3969/j.issn.1000-5641.2019.02.012

Abstract

Black holes usually have two horizons in nonlinear electrodynamics based on the Einstein gravity theory. Starting with the action and a spherical metric of general forms in this theory, we calculated the electric potential of the black hole as well as the action of the Wheeler-DeWitt patch. The action turned out to be equal to the electric charge multiplied by the potential difference between the inner and outer horizons. Following the conjecture of complexity-action duality proposed recently by Susskind et al., the action can be interpreted as the computational complexity of the quantum states on the Anti-de Sitter boundary. In the special cases of the Reissner-Nordstrom black hole and the Born-Infeld black hole, our general results agree well with the results published in the literature.

Key words： gauge/gravity duality; black hole; nonlinear electrodynamics

参考文献

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