Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent
Julián Barragán Amado, Bruno Carneiro da Cunha, Elisabetta Pallante
Abstract
A bstract We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular equations. Using isomonodromy deformations, we describe a non-linear symmetry of the system, under which μ is tied to the Painlevé VI transcendent. By translating the boundary conditions imposed on the solutions of the equations for quasinormal modes in terms of monodromy data, we find a procedure to fix μ and study the behavior of the quasinormal modes in the limit of fast spinning small black holes.
Topics & Concepts
PhysicsAnsatzMathematical physicsGravitational singularityMonodromyNaked singularityClassical mechanicsRotating black holeBlack hole (networking)Quantum mechanicsAngular momentumRouting (electronic design automation)Computer networkComputer scienceMathematicsLink-state routing protocolPure mathematicsRouting protocolBlack Holes and Theoretical PhysicsNonlinear Waves and SolitonsAstrophysical Phenomena and Observations