Action growth for AdS black holes

• DOI: 10.1007/jhep09(2016)161
• Publication Date: 2016-09-29T07:36:37Z
• Authors: Rong-Gen Cai; Shan-Ming Ruan; Shao-Jiang Wang; Run-Qiu Yang; Rong-Hui Peng
• Keywords: Black hole (networking); Duality (order theory); BTZ black hole

Recently a Complexity-Action (CA) duality conjecture has been proposed, which relates the quantum complexity of holographic boundary state to action Wheeler-DeWitt (WDW) patch in anti-de Sitter (AdS) bulk. In this paper we further investigate for stationary AdS black holes and derive some exact results growth rate within at late time approximation, is supposed be dual state. Based on from general D-dimensional Reissner-Nordström (RN)-AdS hole, rotating/charged Bañados-Teitelboim-Zanelli (BTZ) Kerr-AdS hole charged Gauss-Bonnet-AdS present universal formula expressed terms thermodynamical quantities associated with outer inner horizons holes. And leave unchanged that Einstein gravity fastest computer nature.