Holographic complexity in general quadratic curvature theory of gravity
arXiv:2005.08989 · doi:10.1140/epjc/s10052-020-08503-9
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.
arXiv comment19 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
References in corpus (39)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Eternal Black Holes in AdS
- Cool horizons for entangled black holes
- Ultimate physical limits to computation
- Complexity Equals Action
- Complexity and Shock Wave Geometries
- Complexity, action, and black holes
- Gravitational action with null boundaries
- Comments on Holographic Complexity
- On the Time Dependence of Holographic Complexity
- Noether charge, black hole volume, and complexity
- Complexity of Formation in Holography
- Black Holes in f(R) theories
- Complexity Growth for AdS Black Holes
- Boundary Terms, Variational Principles and Higher Derivative Modified Gravity
- Hamiltonian complexity
- Quantum Hamiltonian Complexity
- Hamiltonian formulation of f(Riemann) theories of gravity
- Holographic Complexity Equals Which Action?
- On Complexity for Higher Derivative Gravities
- Complexity Growth Rate in Lovelock Gravity
- Action growth of charged black holes with a single horizon
- Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism
- Strong energy condition and complexity growth bound in holography
- Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
- Holographic Complexity and Two Identities of Action Growth
- Action growth rate for a higher curvature gravitational theory
- Surface term, corner term, and action growth in F(Riemann) gravity theory
- On the Noether charge and the gravity duals of quantum complexity
- Generalised Boundary Terms for Higher Derivative Theories of Gravity
- Lovelock action with nonsmooth boundaries
- Investigating two counting methods of the holographic complexity
- Modified "complexity equals action" conjecture
- Holographic complexity and thermodynamics of AdS black holes
- Time dependence of complexity for Lovelock black holes
- Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes
- Holographic complexity of the electromagnetic black hole
- A Holographic Study of the -theorem and RG Flow in General Quadratic Curvature Gravity
- Action growth rates of black holes in the Chern-Simons modified gravity
Cited by in corpus (8)
- Holographic complexity for black branes with momentum relaxation
- Complexity growth in Gubser-Rocha models with momentum relaxation
- Action complexity of charged black holes with higher derivative interactions
- Inhomogeneous metrics on complex bundles in Lovelock gravity
- Complexity growth of BTZ black hole in massive gravity with a null string
- Higher order curvature corrections and holographic renormalization group flow
- Complexity Growth of Dyonic Black holes with Quartic Field Strength Corrections
- Quantum fluctuation on the worldsheet of probe string in BTZ black hole