Quasinormal modes of Proca fields in a Schwarzschild-AdS spacetime
arXiv:2112.03282 · doi:10.1103/PhysRevD.105.044017
Abstract
We present new results concerning the Proca massive vector field in a Schwarzschild-AdS black hole geometry. We provide a first principles analysis of Proca vector fields in this geometry using both the vector spherical harmonic (VSH) separation method and the Frolov-Krtouš-Kubizňák-Santos (FKKS) method that separates the relevant equations in spinning geometries. The analysis in the VSH method shows, on one hand, that it is arduous to separate the scalar-type from the vector-type polarizations of the electric sector of the Proca field, and on the other hand, it displays clearly the electric and the magnetic mode sectors. The analysis in the FKKS method is performed by taking the nonrotating limit of the Kerr-AdS spacetime, and shows that the ansatz decouples the polarizations in the electric mode sector even in the nonrotating limit. On the other hand, it captures only two of the three possible polarizations, the magnetic mode sector is missing. The reason for the absence of this polarization is related to the degeneracy of the principal tensor in static spherical symmetric spacetimes. The degrees of freedom and quasinormal modes in both separation methods of the Proca field are found. The frequencies of the quasinormal modes are also computed. For the electric mode sector in the VSH method the frequencies are found through an extension, which substitutes number coefficients by matrix coefficients, of the Horowitz-Hubeny numerical procedure, whereas for the magnetic mode sector in the VSH method and the electric sector of the FKKS method it is shown that a direct use of the procedure can be made. The values of the quasinormal mode frequencies obtained for each method are compared and showed to be in good agreement with each other. This further supports the analytical approaches presented here for the behavior of the Proca field in a Schwarzschild-AdS black hole background.
15 pages, 4 tables, 1 appendix with 2 figures
References in corpus (7)
- Superradiant instabilities in astrophysical systems
- Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
- Maxwell's Equations in the Myers-Perry Geometry
- Late time tails of the massive vector field in a black hole background
- Quasinormal modes of massive vector fields on the Kerr spacetime
- Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
- Anti de Sitter black holes and branes in dynamical Chern-Simons gravity: perturbations, stability and the hydrodynamic modes
Cited by in corpus (20)
- Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime
- Long-lived Quasinormal Modes and Gray-Body Factors of black holes and wormholes in dark matter inspired Weyl Gravity
- Long Lived Quasinormal Modes of Regular and Extreme Black Holes
- Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
- Long-lived quasinormal modes, grey-body factors and absorption cross-section of the black hole immersed in the Hernquist galactic halo
- Ringing and echoes from black bounces surrounded by the string cloud
- Long-Lived Quasinormal Modes and Quasi-Resonances around Non-Minimal Einstein-Yang-Mills Black Holes
- Long-lived quasinormal modes and echoes in the Einstein-Gauss-Bonnet-Proca theory
- Long-Lived Quasinormal Modes of Brane-Localized Reissner-Nordström--de Sitter Black Holes
- The ringing of quantum corrected Schwarzschild black hole with GUP
- Schwarzschild quasi-normal modes of non-minimally coupled vector fields
- Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
- Telling tails and quasi-resonances in the vicinity of Dymnikova regular black hole
- Normal modes of Proca fields in AdS spacetime
- Black-hole hair from vector dark matter accretion
- Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes
- Horizon brightened acceleration radiation from massive vector fields
- Greybody factors of Proca fields in Schwarzschild spacetime: A supplemental analysis based on decoupled master equations related to the Frolov-Krtouš-Kubizňák-Santos separation
- Normal modes of Proca fields in AdS spacetime
- Long-lived quasinormal modes in the Euler-Heisenberg electrodynamics