2004/02/29 by Juan Crisóstomo, Samuel Lepe, Joel Saavedra · 5 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Black brane #Bounded function #Cosmology and Gravitation Theories #Dissipative system #Entropy (arrow of time) #Extremal black hole #Mathematical analysis #Mathematical physics #Physics #Quantum electrodynamics #Quantum mechanics #Quasinormal mode #Scalar (mathematics) #Scalar field #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/21/12/002
published as Class.Quant.Grav. 21 (2004) 2801-2810 · 6 pp. Accepted Classical and Quantum Gravity. Typos corrected and some references was added. Final Version
arxiv created 2004/04/20 · openalex publication_date 2004/05/08 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by several pieces of evidence, in order to show that extremal black holes cannot be obtained as limits of non-extremal black holes, in this paper we calculate explicitly quasinormal modes for the Bañados, Teitelboim and Zanelli (BTZ) extremal black hole and show that the imaginary part of the frequency is zero. We obtain exact result for the scalar and fermionic perturbations. We also showed that the frequency is bounded from below for the existence of the normal modes (non-dissipative modes).