Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation

Abstract

We study scalar perturbations of nonlinear charged Lifshitz black branes with hyperscaling violating factor, and we find numerically the quasinormal modes for scalar fields. Then, we study the stability of these black branes under massive and massless scalar field perturbations. Also, we consider different values of the dynamical exponent, the nonlinear exponent and the hyperscaling violating exponent.

17 pages. Improved version. arXiv admin note: substantial text overlap with arXiv:1404.3172

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• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• Charged scalar quasi-normal modes for linearly charged dilaton-Lifshitz solutions
• Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics
• AdS and Lifshitz black hole solutions in conformal gravity sourced with a scalar field
• Lifshitz holographic superconductor in Horava-Lifshitz gravity
• Extreme Dilaton Black Holes in 2 +1 Dimensions: Quasinormal modes
• Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity
• Several integrals of quaternionic field on hyperbolic matrix space
• Crystalline geometries from fermionic vortex lattice with hyperscaling violation