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• W3094549325 abstract "The nonlinear dynamics of black holes is an increasingly relevant topic of which littleis known. In this thesis, we study the full nonlinear dynamics of black holes, as well astheir linear behavior, and combine them to find a comprehensive picture of the processesinvolved. In particular, we study the dynamics of unstable black holes in asymptoticallyanti-de Sitter spacetimes. We study their general behavior and approach to the finalequilibrium state. In the first part of this work, we present linear studies of chargedscalar field perturbations of Reissner-Nordstrom anti-de Sitter (RN-AdS) black holes inthe small and large black hole regimes. We present their quasinormal mode spectra, identify the known mode families—superradiant modes, zero-damped modes, AdS modes, andthe near-horizon mode— and track their migration under variation of the black hole andfield parameters. We present results of the full nonlinear studies of perturbed small andlarge RN-AdS, showing the nonlinear development of the unstable superradiant modes.For generic initial conditions, charge and mass are transferred from the black hole to thescalar field, until an equilibrium solution with a scalar condensate is reached. Additionally,we use the results from the linear analysis to construct special initial data correspondingto an unstable overtone mode. We find that these special data evolve to produce a newequilibrium state, an excited hairy black hole with the scalar condensate in an overtoneconfiguration. This state is, however, unstable, and the system eventually decays to thegeneric end state. This demonstrates the potential relevance of overtone modes as transients in black hole dynamics. In the second part of this work, we present linear andnonlinear studies of a planar Schwarzschild-AdS black hole and two massive scalar fields.Above the critical energy density the system reaches an equilibrium state where one of thescalars forms a condensate and the other vanishes. Below the critical energy density, how-ever, the system displays an instability at the linear regime. We present results of the fullnonlinear development of this instability where a suitable equilibrium condensate does notexist. Indeed, we present compelling evidence that during the dynamics arbitrarily largecurvatures are uncovered in the vicinity of the horizon, which turn such region singular infinite time with respect to the boundary observer." @default.
• W3094549325 created "2020-10-29" @default.
• W3094549325 creator A5076843225 @default.
• W3094549325 date "2020-09-25" @default.
• W3094549325 modified "2023-09-23" @default.
• W3094549325 title "Nonlinear Behavior of Unstable Black Holes in Anti-de Sitter Spacetimes" @default.
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• W3094549325 hasPublicationYear "2020" @default.
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