Complexity growth of rotating black holes with a probe string
arXiv:1807.01088 · doi:10.1103/PhysRevD.98.126014
Abstract
We study the effect of a probe string to black hole complexity according to the CA (Complexity equals Action) conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this corresponds to the insertion of a fundamental string on the bulk spacetime. The total action consists of the Einstein-Hilbert term and the Nambu-Goto term. The effect of this string is expressed by the Nambu-Goto term. Focusing on the Nambu-Goto term, we analyse the time development of this system. Our results show some interesting properties of complexity. This gives a useful hint for defining complexity in quantum field theories.
26 figures, 25 pages, some comments in discussion and references are added. Some mistakes for figures are corrected
References in corpus (58)
- Black holes as mirrors: quantum information in random subsystems
- Complexity and Shock Wave Geometries
- Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
- Drag force in AdS/CFT
- Quantum Computation as Geometry
- Calculating the Jet Quenching Parameter from AdS/CFT
- Heavy Quark Diffusion in Strongly Coupled Yang Mills
- Gravitational action with null boundaries
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- On the Time Dependence of Holographic Complexity
- Circuit Complexity in Fermionic Field Theory
- Kerr-AdS/CFT Correspondence in Diverse Dimensions
- Circuit complexity for free fermions
- Quantum Complexity and Negative Curvature
- Holographic Complexity in Vaidya Spacetimes II
- Einstein's Equations from Varying Complexity
- Path-Integral Complexity for Perturbed CFTs
- Switchbacks and the Bridge to Nowhere
- Holographic Complexity in Vaidya Spacetimes I
- Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
- Holographic complexity is nonlocal
- Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
- The effect of Dilaton on the holographic complexity growth
- A Complexity for Quantum Field Theory States and Application in Thermofield Double States
- Complexity in de Sitter Space
- Evolution of Complexity Following a Global Quench
- Complexity Growth Rate in Lovelock Gravity
- Holographic complexity and non-commutative gauge theory
- Complexity of the AdS Soliton
- Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
- Singularities, Firewalls, and Complementarity
- A geometric approach to quantum circuit lower bounds
- Action growth rate for a higher curvature gravitational theory
- Complexity is Simple
- Divergences in the rate of complexification
- Boundary terms of the Einstein-Hilbert action
- Holographic local quench and effective complexity
- On complexity growth in massive gravity theories, the effects of chirality and more
- Surface term, corner term, and action growth in F(Riemann) gravity theory
- Complexity and action for warped AdS black holes
- De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity
- Holographic Complexity for Time-Dependent Backgrounds
- Complexity of AdS_5 black holes with a rotating string
- Complexity Functionals and Complexity Growth Limits in Continuous MERA Circuits
- Volume and complexity for warped AdS black holes
- Circuit complexity for free Fermion with a mass quench
- On Complexity Growth in Minimal Massive 3D Gravity
- Comparison of holographic and field theoretic complexities by time dependent thermofield double states
- Action growth for black holes in modified gravity
- Complexity growth and shock wave geometry in AdS-Maxwell-power-Yang-Mills theory
- Complexity Growth in Flat Spacetimes
- Black Holes and Complexity Classes
- Quantum computational complexity, Einstein's equations and accelerated expansion of the Universe
- Complexity growth rates for AdS black holes with dyonic/ nonlinear charge/ stringy hair/ topological defects
- Quantum complexity and the virial theorem
- No Firewalls or Information Problem for Black Holes Entangled with Large Systems
- Time-independent wormholes
- Thesis: Tensor networks for dynamic spacetimes
Cited by in corpus (15)
- Holographic complexity of anisotropic black branes
- General Bounds on Holographic Complexity
- Holographic complexity of local quench at finite temperature
- Rotating black hole with a probe string in Horndeski Gravity
- Complexity growth of massive black hole with a probe string
- Complexity growth for topological black holes by holographic method
- Effects of the acceleration on holographic complexity
- Complexity growth of BTZ black hole in massive gravity with a null string
- Holographic complexity for nonlinearly charged Lifshitz black holes
- Interface in AdS black hole spacetime
- Complexity Conjecture of Regular Electric Black Holes
- Quantum fluctuation on the worldsheet of probe string in BTZ black hole
- Interface in Kerr-AdS black hole spacetime
- Holographic complexity of rotating black holes
- Probe strings on AdS accelerating black holes