Journal of East China Normal University(Natural Science) >

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

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

Life Science

Complexity of black holes in nonlinear electrodynamics

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

Received date: 2018-01-22

  Online published: 2019-03-27

Fold

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

Cite this article

LI Li , DING Yu-chen , WANG Tao . Complexity of black holes in nonlinear electrodynamics[J]. Journal of East China Normal University(Natural Science), 2019 , 2019(2) : 116 -121 . DOI: 10.3969/j.issn.1000-5641.2019.02.012

References

[1] SUSSKIND L. Computational complexity and black hole horizons[J]. rXiv:1402.5674v2[hep-th] 25 Feb 2014.
[2] SUSSKIND L. Addendum to computational complexity and black hole horizons[J]. Fortsch Phys, 2016, 64(1):44-48.
[3] STANFORD D, SUSSKIND L. Complexity and shock wave geometries[J]. Phys Rev D, 2014, 90:126007.
[4] BROWN A R, ROBERTS D A, SUSSKIND L, et al. Holographic complexity equals bulk action[J]. Phys Rev Lett, 2016, 116:191301.
[5] BROWN A R, ROBERTS D A, SUSSKIND L, et al. Complexity, action, and black holes[J]. Phys Rev D, 2016, 93:086006.
[6] FAN Z H, WANG X. Construction of regular black holes in general relativity[J]. Phys Rev D, 2016, 94:124027.
[7] WANG S J, GUO X X, WANG T. Maximal volume behind horizons without curvature singularity[J]. Phys Rev D, 2018, 97:024039.
[8] TAO J, WANG P, YANG H T. Testing holographic conjectures of complexity with Born-Infeld black holes[J]. Eur Phys J C, 2017, 77:817.
[9] LEHNER L, MYERS R C, POISSON E, et al. Gravitational action with null boundaries[J]. Phys Rev D, 2016, 94:084046.
Options
Outlines

/

〈 〉