2013/12/31 by Marcela Catalan, Marcela Catalán, Eduardo Cisternas +4 · 1 citation
Physics and Astronomy · #Angular momentum #Asymptotic expansion #Black Holes and Theoretical Physics #Black hole (networking) #Complex plane #Exponent #Field (mathematics) #Massless particle #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #Quasinormal mode #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-014-2813-7
Version accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1306.5974
openalex publication_date 2014/03/01 · arxiv created 2014/03/18 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the quasinormal modes of fermionic perturbations for an asymptotically Lifshitz black hole in four dimensions with dynamical exponent z=2 and plane topology for the transverse section, and we find analytically and numerically the quasinormal modes for massless fermionic fields by using the improved asymptotic iteration method and the Horowitz–Hubeny method. The quasinormal frequencies are purely imaginary and negative, which guarantees the stability of these black holes under massless fermionic field perturbations. Remarkably, both numerical methods yield consistent results; i.e., both methods converge to the exact quasinormal frequencies; however, the improved asymptotic iteration method converges in a less number of iterations. Also, we find analytically the quasinormal modes for massive fermionic fields for the mode with lowest angular momentum. In this case, the quasinormal frequencies are purely imaginary and negative, which guarantees the stability of these black holes under fermionic field perturbations. Moreover, we show that the lowest quasinormal frequencies have real and imaginary parts for the mode with higher angular momentum by using the improved asymptotic iteration method.