• Open Access

Holographic complexity of anisotropic black branes

Seyed Ali Hosseini Mansoori, Viktor Jahnke, Mohammad M. Qaemmaqami, and Yaithd D. Olivas
Phys. Rev. D 100, 046014 – Published 22 August 2019

Abstract

We use the complexity=action (CA) conjecture to study the full-time dependence of holographic complexity in anisotropic black branes. We find that the time behavior of holographic complexity of anisotropic systems shares a lot of similarities with the behavior observed in isotropic systems. In particular, the holographic complexity remains constant for some initial period, and then it starts to change so that the complexity growth rate violates the Lloyd’s bound at initial times, and approaches this bound from above at later times. Compared with isotropic systems at the same temperature, the anisotropy reduces the initial period in which the complexity is constant and increases the rate of change of complexity. At late times the difference between the isotropic and anisotropic results is proportional to the pressure difference in the transverse and longitudinal directions. In the case of charged anisotropic black branes, we find that the inclusion of a Maxwell boundary term is necessary to have consistent results. Moreover, the resulting complexity growth rate does not saturate the Lloyd’s bound at late times.

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  • Received 26 October 2018

DOI:https://doi.org/10.1103/PhysRevD.100.046014

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Seyed Ali Hosseini Mansoori1,*, Viktor Jahnke2,†, Mohammad M. Qaemmaqami3,‡, and Yaithd D. Olivas2,§

  • 1Faculty of Physics, Shahrood University of Technology, P.O.Box 3619995161 Shahrood, Iran
  • 2Departamento de Física de Altas Energias, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México Apartado Postal 70-543, CDMX 04510, México
  • 3School of Particles and Accelerators Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

  • *shossein@ipm.ir,shosseini@shahroodut.ac.ir
  • viktor.jahnke@correo.nucleares.unam.mx
  • m.qaemmaqami@ipm.ir
  • §yaithd.olivas@correo.nucleares.unam.mx

Article Text

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Issue

Vol. 100, Iss. 4 — 15 August 2019

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