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Complexity growth with Lifshitz scaling and hyperscaling violation

2018/02/28 by Mohsen Alishahiha, Amin Faraji Astaneh, M. Reza Mohammadi Mozaffar +1 · 101 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Brane #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Dilaton #Entropy (arrow of time) #Extremal black hole #Geometry #Gravitation #Isotropy #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scaling #Theoretical physics #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1007/jhep07(2018)042

published in Journal of High Energy Physics 2018(7) (Springer Nature) · 17 pages, 4 figures, v2: typos corrected, references added, v3: Minor corrections, New counter terms added that also contribute to the rate of complexity growth. The conclusion is not changed, now 19 pages, v4: matches published version

openalex publication_date 2018/07/01 · arxiv created 2018/07/12 · arxiv updated 2018/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A bstract 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.

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