Built on

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1993
Earlier work this paper cites.
L. Susskind, “The World as a hologram,” J. Math. Phys
1995
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
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Earlier work this paper cites.
S. Fernando and D. Krug, “Charged black hole solutions in Einstein-Born-Infeld gravity with a cosmological constant,” Gen. Rel. Grav
2003
Earlier work this paper cites.
C. J. Gao and S. N. Zhang, “Dilaton black holes in de Sitter or Anti-de Sitter universe,” Phys. Rev
2004
Earlier work this paper cites.

Similar

T. K. Dey, “Born-Infeld black holes in the presence of a cosmological constant,” Phys. Lett
2004
Cited alongside, same era.
R.-G. Cai, D.-W. Pang, and A. Wang, “Born-Infeld black holes in (A)dS spaces,” Phys. Rev
2004
Cited alongside, same era.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Cited alongside, same era.
D. Stanford and L. Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev
Original
2014
Cited alongside, same era.
M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi, and K. Watanabe, “Distance between Quantum States and Gauge-Gravity Duality,” Phys. Rev. Lett
Original
2015
Cited alongside, same era.

Then

A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle, and Y. Zhao, “Complexity, action, and black holes,” Phys. Rev
Original
2016
Later among the works it cites.
R.-G. Cai, S.-M. Ruan, S.-J. Wang, R.-Q. Yang, and R.-H. Peng, “Action growth for AdS black holes,” JHEP
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2016
Later among the works it cites.
L. Lehner, R. C. Myers, E. Poisson, and R. D. Sorkin, “Gravitational action with null boundaries,” Phys. Rev
Original
2016
Later among the works it cites.
J. L. F. Barbon and E. Rabinovici, “Holographic complexity and spacetime singularities,” JHEP
Original
2016
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D. Momeni, S. A. H. Mansoori, and R. Myrzakulov, “Holographic Complexity in Gauge/String Superconductors,” Phys. Lett

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2017

Action growth of charged black holes with a single horizon

Cai, Rong-Gen, Sasaki, Misao, Wang, Shao-Jiang

Understand

According to the conjecture "complexity equals action," the complexity of a holographic state is equal to the action of a Wheeler-DeWitt (WDW) patch of black holes in anti-de Sitter space.

In this paper we calculate the action growth of charged black holes with a single horizon, paying attention to the contribution from a spacelike singularity inside the horizon.
We consider two kinds of such charged black holes: one is a charged dilaton black hole, and the other is a Born-Infeld black hole with $\beta^2 Q^2<1/4$.
In both cases, although an electric charge appears in the black hole solutions, the inner horizon is absent, instead a spacelike singularity appears inside the horizon.

Built on

G. Hayward, “Gravitational action for space-times with nonsmooth boundaries,” Phys. Rev
1993
Earlier work this paper cites.
L. Susskind, “The World as a hologram,” J. Math. Phys
1995
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. Lloyd, “Ultimate physical limits to computation,” Nature (London)
2000
Earlier work this paper cites.
S. Fernando and D. Krug, “Charged black hole solutions in Einstein-Born-Infeld gravity with a cosmological constant,” Gen. Rel. Grav
2003
Earlier work this paper cites.
C. J. Gao and S. N. Zhang, “Dilaton black holes in de Sitter or Anti-de Sitter universe,” Phys. Rev
2004
Earlier work this paper cites.

Similar

T. K. Dey, “Born-Infeld black holes in the presence of a cosmological constant,” Phys. Lett
2004
Cited alongside, same era.
R.-G. Cai, D.-W. Pang, and A. Wang, “Born-Infeld black holes in (A)dS spaces,” Phys. Rev
2004
Cited alongside, same era.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Cited alongside, same era.
D. Stanford and L. Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev
Original
2014
Cited alongside, same era.
M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi, and K. Watanabe, “Distance between Quantum States and Gauge-Gravity Duality,” Phys. Rev. Lett
Original
2015
Cited alongside, same era.