Built on

P. C. Vaidya, “The External Field of a Radiating Star in General Relativity,” Curr. Sci. 12
1943
Earlier work this paper cites.
P. C. Vaidya, “The gravitational field of a radiating star,” Indian Acad. Sci. (Math. Sci.) (1951) 33
1951
Earlier work this paper cites.
G. Hayward, “Gravitational action for space-times with nonsmooth boundaries,” Phys. Rev. D 47
1993
Earlier work this paper cites.
D. Brill and G. Hayward, “Is the gravitational action additive?,” Phys. Rev. D 50
1994
Earlier work this paper cites.
O. Coussaert and M. Henneaux, “Supersymmetry of the (2+1) black holes,” Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
A. Wang and Y. Wu, “Generalized Vaidya solutions,” Gen. Rel. Grav. 31
1999
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys. 217
2001
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Earlier work this paper cites.
L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, “The Black hole singularity in AdS/CFT,” JHEP 0402
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
J. Watrous, “Quantum Computational Complexity,” pp 7174-7201 in Encyclopedia of Complexity and Systems Science
Original
2009
Earlier work this paper cites.
M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42
Original
2010
Earlier work this paper cites.
A. Buchel, J. Escobedo, R. C. Myers, M. F. Paulos, A. Sinha and M. Smolkin, “Holographic GB gravity in arbitrary dimensions,” JHEP 1003
Original
2010
Earlier work this paper cites.
A. Buchel, L. Lehner and R. C. Myers, “Thermal quenches in N=2* plasmas,” JHEP 1208
Original
2012
Earlier work this paper cites.
J. Maldacena and L. Susskind, “Cool horizons for entangled black holes,” Fortsch. Phys. 61
Original
2013
Earlier work this paper cites.
A. Buchel, L. Lehner, R. C. Myers and A. van Niekerk, “Quantum quenches of holographic plasmas,” JHEP 1305
Original
2013
Earlier work this paper cites.

Similar

D. Stanford and L. Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev. D 90
Original
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, “Multiple Shocks,” JHEP 1412
Original
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 1403
Original
2014
Cited alongside, same era.
M. Van Raamsdonk, “Evaporating Firewalls,” JHEP 1411
Original
2014
Cited alongside, same era.
M. Ammon and J. Erdmenger, Gauge/gravity duality: Foundations and applications
2015
Cited alongside, same era.

Then

D. Carmi, S. Chapman, H. Marrochio, R. C. Myers and S. Sugishita, “On the Time Dependence of Holographic Complexity,” JHEP 1711
Original
2017
Later among the works it cites.
D. Carmi, R. C. Myers and P. Rath, “Comments on Holographic Complexity,” JHEP 1703
Original
2017
Later among the works it cites.
P. Caputa, N. Kundu, M. Miyaji, T. Takayanagi and K. Watanabe, “Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories,” Phys. Rev. Lett. 119
Original
2017
Later among the works it cites.
A. Reynolds and S. F. Ross, “Complexity in de Sitter Space,” Class. Quant. Grav. 34
Original
2017
Later among the works it cites.
K. Hashimoto, N. Iizuka and S. Sugishita, “Time evolution of complexity in Abelian gauge theories,” Phys. Rev. D 96

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2018

Holographic Complexity in Vaidya Spacetimes II

Chapman, Shira, Marrochio, Hugo, Myers, Robert C.

Understand

In this second part of the study initiated in arxiv:1804.07410, we investigate holographic complexity for eternal black hole backgrounds perturbed by shock waves, with both the complexity$=$action (CA) and complexity$=$volume (CV) proposals.

In particular, we consider Vaidya geometries describing a thin shell of null fluid with arbitrary energy falling in from one of the boundaries of a two-sided AdS-Schwarzschild spacetime.
We demonstrate how known properties of complexity, such as the switchback effect for light shocks, as well as analogous properties for heavy ones, are imprinted in the complexity of formation and in the full time evolution of complexity.
Following our discussion in arxiv:1804.07410, we find that in order to obtain the expected properties of the complexity, the inclusion of a particular counterterm on the null boundaries of the Wheeler-DeWitt patch is required for the CA proposal.

Built on

P. C. Vaidya, “The External Field of a Radiating Star in General Relativity,” Curr. Sci. 12
1943
Earlier work this paper cites.
P. C. Vaidya, “The gravitational field of a radiating star,” Indian Acad. Sci. (Math. Sci.) (1951) 33
1951
Earlier work this paper cites.
G. Hayward, “Gravitational action for space-times with nonsmooth boundaries,” Phys. Rev. D 47
1993
Earlier work this paper cites.
D. Brill and G. Hayward, “Is the gravitational action additive?,” Phys. Rev. D 50
1994
Earlier work this paper cites.
O. Coussaert and M. Henneaux, “Supersymmetry of the (2+1) black holes,” Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
A. Wang and Y. Wu, “Generalized Vaidya solutions,” Gen. Rel. Grav. 31
1999
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS / CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys. 217
2001
Earlier work this paper cites.
K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav. 19
2002
Earlier work this paper cites.
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Earlier work this paper cites.
L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, “The Black hole singularity in AdS/CFT,” JHEP 0402
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP 0608
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
J. Watrous, “Quantum Computational Complexity,” pp 7174-7201 in Encyclopedia of Complexity and Systems Science
Original
2009
Earlier work this paper cites.
M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42
Original
2010
Earlier work this paper cites.
A. Buchel, J. Escobedo, R. C. Myers, M. F. Paulos, A. Sinha and M. Smolkin, “Holographic GB gravity in arbitrary dimensions,” JHEP 1003
Original
2010
Earlier work this paper cites.
A. Buchel, L. Lehner and R. C. Myers, “Thermal quenches in N=2* plasmas,” JHEP 1208
Original
2012
Earlier work this paper cites.
J. Maldacena and L. Susskind, “Cool horizons for entangled black holes,” Fortsch. Phys. 61
Original
2013
Earlier work this paper cites.
A. Buchel, L. Lehner, R. C. Myers and A. van Niekerk, “Quantum quenches of holographic plasmas,” JHEP 1305
Original
2013
Earlier work this paper cites.

Similar

D. Stanford and L. Susskind, “Complexity and Shock Wave Geometries,” Phys. Rev. D 90
Original
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, “Multiple Shocks,” JHEP 1412
Original
2014
Cited alongside, same era.
S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 1403
Original
2014
Cited alongside, same era.
M. Van Raamsdonk, “Evaporating Firewalls,” JHEP 1411
Original
2014
Cited alongside, same era.
M. Ammon and J. Erdmenger, Gauge/gravity duality: Foundations and applications
2015
Cited alongside, same era.

Then

D. Carmi, S. Chapman, H. Marrochio, R. C. Myers and S. Sugishita, “On the Time Dependence of Holographic Complexity,” JHEP 1711
Original
2017
Later among the works it cites.
D. Carmi, R. C. Myers and P. Rath, “Comments on Holographic Complexity,” JHEP 1703
Original
2017
Later among the works it cites.
P. Caputa, N. Kundu, M. Miyaji, T. Takayanagi and K. Watanabe, “Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories,” Phys. Rev. Lett. 119
Original
2017
Later among the works it cites.
A. Reynolds and S. F. Ross, “Complexity in de Sitter Space,” Class. Quant. Grav. 34
Original
2017
Later among the works it cites.
K. Hashimoto, N. Iizuka and S. Sugishita, “Time evolution of complexity in Abelian gauge theories,” Phys. Rev. D 96

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

D. A. Roberts, D. Stanford and L. Susskind, “Localized shocks,” JHEP 1503

Original

2015

Cited alongside, same era.

M. Alishahiha, “Holographic Complexity,” Phys. Rev. D 92

Original

2015

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. 115

Original

2015

Cited alongside, same era.

L. Susskind, “Entanglement is not enough,” Fortsch. Phys. 64

Original

2016

Cited alongside, same era.

L. Susskind, “Computational Complexity and Black Hole Horizons,” Fortsch. Phys. 64

Original

2016

Cited alongside, same era.

A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, “Holographic Complexity Equals Bulk Action?,” Phys. Rev. Lett. 116

Original

2016

Cited alongside, same era.

A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, “Complexity, action, and black holes,” Phys. Rev. D 93

Original

2016

Cited alongside, same era.

Original

2017