2008/02/29 by Hideki Ishihara, Masashi Kimura, R. A. Konoplya +5 · 105 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Gravitational wave #Hawking radiation #Instability #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar field #hep-th
paper · pdf · doi:10.1103/physrevd.77.084019
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 77(8) (American Physical Society) · 12 pages, 6 figures
arxiv created 2008/03/09 · openalex publication_date 2008/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in higher dimensions. Another important feature is that the squashed KK black holes are apparently stable and, thereby, let us avoid the Gregory-Laflamme instability. In the present paper, the evolution of scalar and gravitational perturbations in time and frequency domains is considered for these squashed KK black holes. The scalar field perturbations are analyzed for general rotating squashed KK black holes. Gravitational perturbations for the so-called zero mode are shown to be decayed for nonrotating black holes, in concordance with the stability of the squashed KK black holes. The correlation of quasinormal frequencies with the size of extra dimension is discussed.