非线性电动力学黑洞的复杂度

李莉; 丁郁琛; 王焘

doi:10.3969/j.issn.1000-5641.2019.02.012

非线性电动力学黑洞的复杂度

doi: 10.3969/j.issn.1000-5641.2019.02.012

华东师范大学物理与材料科学学院, 上海 200241

基金项目:

国家自然科学基金 91536218

详细信息

作者简介:
李莉, 女, 硕士研究生, 研究方向为理论物理.E-mail:ecnulily6138@foxmail.com

通讯作者:
王焘, 男, 副教授, 硕士生导师, 研究方向为理论物理.E-mail:twang@phy.ecnu.edu.cn

中图分类号: O314
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- 被引次数: 0
出版历程
- 收稿日期: 2018-01-22
- 刊出日期: 2019-03-25

Complexity of black holes in nonlinear electrodynamics

School of Physics and Materials Science, East China Normal University, Shanghai 200241, China

摘要

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.
- 规范/引力对偶 /
- 黑洞 /
- 非线性电动力学
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.
- gauge/gravity duality /
- black hole /
- nonlinear electrodynamics

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参考文献(9)

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