Generalized holographic complexity of rotating black holes
arXiv:2401.08571 · doi:10.1007/JHEP09(2024)050
Abstract
We explore the generalized holographic complexity of odd-dimensional Myers-Perry asymptotically Anti-de Sitter (MP-AdS) black holes with equal angular momenta within the ``complexity equals anything'' proposal. We begin by determining the codimension-one generalized volume complexity by finding the extremum of the generally covariant volume functional. Locally, we show that its late-time growth rate aligns with the critical momenta associated with the extremal hypersurfaces. Globally, we discover diverse phase transitions for the complexity at early times, including first-order, second-order, and multi-critical transitions. An area law and a phase diagram are proposed to adapt to these phase behaviours, highlighting the effects of the black hole's angular momentum. At zero time, we define the generalized holographic complexity of formation and examine its scaling relations for both large near-extremal MP-AdS black holes and static charged black holes. We find that the scaling behaviours of the generalized volume complexity of formation maintain uniformity with those of the original holographic complexity formulations, except in cases where the scalar functional defining the generalized holographic complexity is infinite in the vacuum limit or at spatial infinity. Additionally, we show that these findings can be applied to codimension-zero observables.
38 pages, 15 figures
References in corpus (92)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Aspects of Holographic Entanglement Entropy
- Eternal Black Holes in AdS
- P-V criticality of charged AdS black holes
- The dS/CFT Correspondence
- Complexity Equals Action
- Black hole chemistry: thermodynamics with Lambda
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Holographic Entanglement Entropy: An Overview
- Complexity and Shock Wave Geometries
- The Page curve of Hawking radiation from semiclassical geometry
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- The entropy of Hawking radiation
- Localized shocks
- Complexity, action, and black holes
- Entanglement entropy of black holes
- The General Kerr-de Sitter Metrics in All Dimensions
- Two-dimensional conformal field theory and the butterfly effect
- Chaos and complexity by design
- Circuit complexity in quantum field theory
- Towards Complexity for Quantum Field Theory States
- Gravitational action with null boundaries
- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- Thermalization of Strongly Coupled Field Theories
- Holographic Entanglement Entropy for General Higher Derivative Gravity
- Exact Description of Black Holes on Branes
- Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
- The Second Law of Quantum Complexity
- Comments on Holographic Complexity
- Inflation and the dS/CFT Correspondence
- Massive Islands
- On the Time Dependence of Holographic Complexity
- Holographic Complexity
- Noether charge, black hole volume, and complexity
- Complexity of Formation in Holography
- Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
- Complexity and entanglement for thermofield double states
- Circuit complexity for free fermions
- Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
- Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
- Entwinement and the emergence of spacetime
- An instability of higher-dimensional rotating black holes
- Black hole entropy as entanglement entropy: a holographic derivation
- Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
- Does Complexity Equal Anything?
- Circuit Complexity for Coherent States
- Complexity as a novel probe of quantum quenches: universal scalings and purifications
- Subsystem Complexity and Holography
- Models of quantum complexity growth
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Divergences in Holographic Complexity
- Revisiting thermodynamic topologies of black holes
- Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
- Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
- Quantum BTZ black hole
- Complexity and the bulk volume, a new York time story
- Holographic Complexity Equals Which Action?
- Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces
- Complexity Equals Anything II
- Complexity in de Sitter Space
- Higher-dimensional origin of extended black hole thermodynamics
- Krylov complexity of density matrix operators
- Multi-critical Points in Black Hole Phase Transitions
- Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
- Aspects of The First Law of Complexity
- Holographic Complexity in dS
- Surface term, corner term, and action growth in F(Riemann) gravity theory
- Holographic Complexity of Quantum Black Holes
- Holographic Complexity and Thermodynamic Volume
- Complexity=Anything: Singularity Probes
- The Cosmological Switchback Effect
- Multicritical Phase Transitions in Lovelock AdS Black Holes
- Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
- Multicritical Phase Transitions in Multiply Rotating Black Holes
- Holographic Complexity and Charged Scalar Fields
- Null hypersurfaces in Kerr-(A)dS spacetimes
- Null Hypersurfaces in Kerr-Newman-AdS Black Hole and Super-Entropic Black Hole Spacetimes
- Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
- Curvature Invariants for accelerating Kerr-Newman black holes in (anti-)de Sitter spacetime
- Chemistry and Complexity for Solitons in AdS
- Revisit on holographic complexity in two-dimensional gravity
- Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
- Holographic Subregion Complexity in General Vaidya Geometry
- Generalized Volume-Complexity for RN-AdS Black Hole
- Holographic complexity of the electromagnetic black hole
- Circuit Complexity for Carrollian Conformal (BMS) Field Theories
- Chaos and multifold complexity for an inverted harmonic oscillator
- Holographic Complexity Bounds
- Holographic complexity of rotating black holes with conical deficits
- Holographic Complexity and Phase Transition for AdS Black Holes
- Complexity growth of BTZ black hole in massive gravity with a null string