The European Physical Journal C 79, 40 (2019)
Holographic complexity growth rate in Horndeski theory
Xing-Hui Feng 1 and Hai-Shan Liu 1, 2, 3, *
Regular Article - Theoretical Physics
First Online: 18 January 2019
1 Center for Joint Quantum Studies, Tianjin University, Tianjin, China
2 Institute for Advanced Physics and Mathematics, Zhejiang University of Technology, Hangzhou, China
3 Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, China
Abstract
Based on the context of complexity = action (CA) conjecture, we calculate the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory. We find that the rate of change of holographic complexity for neutral AdS black holes saturates the Lloyd’s bound. For charged black holes, we find that there exists only one horizon and thus the corresponding holographic complexity can’t be expressed as the difference of some thermodynamical potential between two horizons as that of Reissner–Nordstrom AdS black hole in Einstein–Maxwell theory. However, the Lloyd’s bound is not violated for charged AdS black hole in Horndeski theory.
