Complexity growth with Lifshitz scaling and hyperscaling violation

  • Mohsen Alishahiha
  • Amin Faraji Astaneh
  • M. Reza Mohammadi Mozaffar
  • Ali Mollabashi
Open Access
Regular Article - Theoretical Physics


Using “complexity=action” proposal we study the growth rate of holographic complexity for Lifshitz and hyperscaling violating geometries. We will consider both one and two sided black branes in an Einstein-Maxwell-Dilaton gravitational theory. We find that in either case Lloyd’s bound is violated and the rate of growth of complexity saturate to a value which is greater than twice the mass of the corresponding black brane. This value reduces to the mass of the black brane in the isotropic case. We show that in two sided black brane the saturation happens from above while for one sided black brane it happens from below.


AdS-CFT Correspondence Black Holes Gauge-gravity correspondence Space-Time Symmetries 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Mohsen Alishahiha
    • 1
  • Amin Faraji Astaneh
    • 2
    • 3
  • M. Reza Mohammadi Mozaffar
    • 1
  • Ali Mollabashi
    • 1
  1. 1.School of Physics, Institute for Research in Fundamental Sciences (IPM)TehranIran
  2. 2.Physics Department, Faculty of SciencesArak UniversityArakIran
  3. 3.School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)TehranIran

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