Quasinormal modes of three-dimensional rotating Hořava AdS black hole and the approach to thermal equilibrium

Abstract

We compute the quasinormal modes (QNMs) of a massive scalar field in the background of a rotating three-dimensional Hořava AdS black hole, and we analyze the effect of the breaking of the Lorentz invariance on the QNMs. Imposing on the horizon that there are only ingoing waves and at infinity the Dirichlet boundary conditions and the Neumann boundary condition, we calculate the oscillatory and the decay modes of the QNMs. We find that the propagation of the scalar field is stable in this background and employing the holographic principle we find the different times of the perturbed system to reach thermal equilibrium for the various branches of solutions.

arXiv comment17 pages, 14 figures. arXiv admin note: text overlap with arXiv:hep-th/0112055 by other authors

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• Quasinormal modes of black holes in f(T) gravity
• Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• Anomalous decay rate of quasinormal modes in Reissner-Nordström black holes
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• Quasinormal Modes in Noncommutative Schwarzschild black holes
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• Quasinormal modes of charged BTZ black holes
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• Time like geodesics in three-dimensional rotating Hořava AdS black hole
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes