Correspondence between quasinormal modes and grey-body factors in five-dimensional black holes
arXiv:2508.12989 · doi:10.1103/n2ns-drkp
Abstract
We investigate the correspondence between quasinormal modes and grey-body factors for the five-dimensional Schwarzschild--Tangherlini black hole. The quasinormal modes of gravitational perturbations are computed numerically using the continued fraction method. Particularly, we analyze the scalar, vector, and tensor types of perturbations, noting that the tensor type only exists in spacetimes with more than four dimensions. The grey-body factors are then calculated analytically via the correspondence, using data from the fundamental quasinormal mode and the first overtone. We then compute the grey-body factors independently using a numerical method and find that the results from the two methods coincide. This demonstrates that the correspondence holds with high accuracy for all three types of gravitational perturbations. Furthermore, our results extend the validity of the correspondence to the tensor type, which can only be tested in spacetimes with more than four dimensions.
arXiv comment18 pages, 12 figures
References in corpus (33)
- Gauge Theory Correlators from Non-Critical String Theory
- Quasinormal modes of black holes: from astrophysics to string theory
- On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
- Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
- A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
- The black hole bomb and superradiant instabilities
- Quasinormal modes and Strong Cosmic Censorship
- Small Kerr-anti-de Sitter black holes are unstable
- Quasinormal modes of Schwarzschild black holes in four and higher dimensions
- Black hole particle emission in higher-dimensional spacetimes
- Massive scalar field quasi-normal modes of higher dimensional black holes
- Graviton emission from a higher-dimensional black hole
- Correspondence between grey-body factors and quasinormal modes
- Gravitational instability of simply rotating AdS black holes in higher dimensions
- Correspondence between grey-body factors and quasinormal frequencies for rotating black holes
- Thermal Ringdown of a Kerr Black Hole: Overtone Excitation, Fermi-Dirac Statistics and Greybody Factor
- Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole
- 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
- Quasinormal modes and strong cosmic censorship in near-extremal Kerr-Newman-de Sitter black-hole spacetimes
- How does non-metricity affect particle creation and evaporation in bumblebee gravity?
- Quasinormal Ringing and Shadows of Black Holes and Wormholes in Dark Matter-Inspired Weyl Gravity
- Greybody Factors Imprinted on Black Hole Ringdowns. II. Merging Binary Black Holes
- Trinity of black hole correspondences: Shadows, quasinormal modes, graybody factors, and cautionary remarks
- Grey-body factors for gravitational and electromagnetic perturbations around Gibbons-Maeda-Garfinkle-Horovits-Strominger black holes
- How general is the strong cosmic censorship bound for quasinormal modes?
- Strong Cosmic Censorship under Quasinormal Modes of Non-Minimally Coupled Massive Scalar Field
- Nonlinear Magnetically Charged Black Holes with Phantom Global Monopoles: Thermodynamics, Geodesics, Quasinormal Modes, and Grey-Body Factors
- Geodesics and scalar perturbations of Schwarzschild black holes embedded in a Dehnen-type dark matter halo with quintessence
- Black Holes in Proca-Gauss-Bonnet Gravity with Primary Hair: Particle Motion, Shadows, and Grey-Body Factors
- Quasinormal Modes and Gray-Body Factors for Gravitational Perturbations in Asymptotically Safe Gravity