Quasibound state reminiscent in de-Sitter black holes: Quasinormal modes and the decay of massive fields

Abstract

Massive perturbations in asymptotic flat black holes leave a distinct signature in their late-time evolution `tail': an oscillatory behavior modulated by the Compton wavelength of the field, which can be associated with the so-called quasibound state spectrum. In asymptotically de-Sitter spacetimes, however, the massive perturbations always leak to the cosmological horizon, which indicates the absence of a quasibound part of the spectrum. In this work, we show that an additional mode exists in asymptotically de-Sitter black holes that produces an imprint similar to that of the quasibound states in the late-time behavior of massive scalar perturbations. If the Compton wavelength is larger than a certain critical value (which depends on the cosmological constant), the oscillatory behavior of the tail turns into an exponential decay due to the fact that the de-Sitter mode is purely imaginary. Even for black holes with typical length scales small in comparison to the size of the cosmological horizon, the late-time tail behavior of the massive perturbations is modified as compared to the usual $t^{-5/6}$ for Schwarzschild black holes, thus being a distinctive feature induced by the presence of a cosmological constant.

12 pages, 7 figures, 4 tables

References in corpus (20)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• Quasinormal modes and Strong Cosmic Censorship
• Modeling the orbital motion of Sgr A*'s near-infrared flares
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Quasinormal modes of D-dimensional de Sitter spacetime
• Ultralight boson cloud depletion in binary systems
• Polarimetry and Astrometry of NIR Flares as Event Horizon Scale, Dynamical Probes for the Mass of Sgr A*
• Superradiance in stars
• Quasinormal modes of charged fields around a Reissner-Nordström black hole
• Quasinormal modes of a holonomy corrected Schwarzschild black hole
• Nonoscillatory gravitational quasinormal modes and telling tails for Schwarzschild-de Sitter black holes
• The tune of the universe: the role of plasma in tests of strong-field gravity
• Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime
• Slowly decaying resonances of massive scalar fields around Schwarzschild-de Sitter black holes
• Superradiance in massive vector fields with spatially varying mass

Cited by in corpus (3)

• Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics
• Critical masses and numerical computation of massive scalar quasinormal modes in Schwarzschild black holes
• Quasibound states of massive charged scalars around dilaton black holes in $2+1$ dimensions: Exact frequencies