English

Holographic complexity in general quadratic curvature theory of gravity

High Energy Physics - Theory 2020-10-28 v3 General Relativity and Quantum Cosmology

Abstract

In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd's bound saturates for charged and neutral black hole solutions. We observe that a second singular point may modify the action growth rate to a value other than the Lloyd's bound. Moreover, we find the universal terms that appear in the divergent part of complexity from computing the bulk and joint terms on a regulated WDW patch.

Keywords

Cite

@article{arxiv.2005.08989,
  title  = {Holographic complexity in general quadratic curvature theory of gravity},
  author = {Ahmad Ghodsi and Saeed Qolibikloo and Saman Karimi},
  journal= {arXiv preprint arXiv:2005.08989},
  year   = {2020}
}

Comments

19 pages, 4 figures; v3. Subsection 2.5 modified and more discussions on the second singularity in new subsection 2.6 added. Accepted for publication in EPJC