Complexity=anything: singularity probes
Eivind Jørstad, Robert C. Myers, Shan-Ming Ruan
Abstract
A bstract We investigate how the complexity=anything observables proposed by [1, 2] can be used to investigate the interior geometry of AdS black holes. In particular, we illustrate how the flexibility of the complexity=anything approach allows us to systematically probe the geometric properties of black hole singularities. We contrast our results for the AdS Schwarzschild and AdS Reissner-Nordström geometries, i.e., for uncharged and charged black holes, respectively. In the latter case, the holographic complexity observables can only probe the interior up to the inner horizon.
Topics & Concepts
PhysicsObservableGravitational singularityBlack hole (networking)Schwarzschild radiusNaked singularitySingularityTheoretical physicsHorizonSchwarzschild metricFlexibility (engineering)Classical mechanicsMathematical physicsQuantum mechanicsGeometryGeneral relativityGravitationRouting protocolComputer scienceAstronomyComputer networkRouting (electronic design automation)Link-state routing protocolStatisticsMathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories