2005/03/31 by R. A. Konoplya, Élcio Abdalla, Elcio Abdalla
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #General relativity #Gravitation #Mathematical physics #Multipole expansion #Oscillation (cell signaling) #Physics #Quantum electrodynamics #Quantum mechanics #Scalar field #Schwarzschild metric #Schwarzschild radius #Universe #hep-th
paper · pdf · doi:10.1103/physrevd.71.084015
published as Phys.Rev. D71 (2005) 084015 · 13 pages, 4 figures, 1 table, misprints corrected, to be published in Phys.Rev.D
arxiv created 2005/04/01 · openalex publication_date 2005/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the scalar field perturbations of the 4+1-dimensional Schwarzschild black hole immersed in a G"odel universe, described by the Gimon-Hashimoto solution. This may model the influence of the possible rotation of the universe upon the radiative processes near a black hole. In the regime when the scale parameter j of the G"odel background is small, the oscillation frequency is linearly decreasing with j, while the damping time is increasing. The quasinormal modes are damping, implying stability of the Schwarzschild-G"odel space-time against scalar field perturbations. The approximate analytical formula for large multipole numbers is found.