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Quasinormal modes of non-Abelian hyperscaling violating Lifshitz black\n holes

2015/10/15 by Ramón Bécar, P. A. González, Bécar, Ramón +3 · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exponent #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometry #High Energy Physics - Theory (hep-th) #Massless particle #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum electrodynamics #Quasinormal mode #Scalar (mathematics) #Scalar field #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1510.04605

published in arXiv (Cornell University) (Cornell University) · Accepted for publication in GERG. arXiv admin note: text overlap with arXiv:1509.00802

openalex publication_date 2015/10/15 · arxiv created 2016/12/08 · arxiv updated 2016/12/09 · openalex created_date 2022/09/27 · openalex updated_date 2026/07/28

Abstract

We study the quasinormal modes of scalar field perturbations in the\nbackground of non-Abelian hyperscaling violating Lifshitz black holes. We find\nthat the quasinormal frequencies have no real part so there is no oscillatory\nbehavior in the perturbations, only exponential decay, that is, the system is\nalways overdamped, which guarantees the mode stability of non-Abelian\nhyperscaling violating Lifshitz black holes. We determine analytically the\nquasinormal modes for massless scalar fields for a dynamical exponent z=2 and\nhyperscaling violating exponent \\θ>-2. Also, we obtain\nnumerically the quasinormal frequencies for different values of the dynamical\nexponent and the hyperscaling violating exponent by using the improved\nasymptotic iteration method.\n

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