Black hole singularity and timelike entanglement
Takanori Anegawa, Kotaro Tamaoka
Abstract
A bstract We study timelike and conventional entanglement entropy as potential probes of black hole singularities via the AdS/CFT correspondence. Using an analytically tractable example, we find characteristic behavior of holographic timelike entanglement entropy when the geometry involves a curvature singularity. We also observe interesting phenomena that, in some particular setups, holographic timelike and conventional entanglement entropy are determined from multiple complex saddle points, which fall outside the assumptions of the Lewkowycz-Maldacena type argument.
Topics & Concepts
PhysicsSingularityQuantum entanglementRing singularityBlack hole (networking)Theoretical physicsMathematical physicsNaked singularityWhite holeQuantum mechanicsClassical mechanicsQuantum electrodynamicsGravitational singularityde Sitter–Schwarzschild metricQuantumGravitational collapseGeometryLink-state routing protocolRouting protocolComputer scienceRouting (electronic design automation)MathematicsComputer networkBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories