Slowly decaying resonances of massive scalar fields around Schwarzschild-de Sitter black holes

Abstract

We study in special limiting cases quasinormal modes of massive scalar fields in the Schwarzschild-de Sitter black hole backgrounds. We determine the lower limit on the mass parameter of the scalar field that allows the waves with quasinormal frequencies to propagate to infinity, showing that it depends on the spacetime parameters only. Then we discuss in the large multipole number limit quasinormal modes, whose frequencies can be directly related to the unstable circular photon geodesics. In the large scalar mass approximation, we demonstrate the new interesting phenomenon of slowly decaying resonances, that are strongly related to the maximum of the effective potential of the massive scalar field, which is located at the static radius of the Schwarzschild-de Sitter spacetimes, where the cosmic repulsion is just balanced by the black hole attraction.

arXiv comment8 pages, 5 figures

References in corpus (45)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects
• Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
• Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole
• Quasi-normal modes of Schwarzschild-de Sitter black holes
• On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole
• Gauge symmetry breaking on orbifolds
• McVittie's Legacy: Black Holes in an Expanding Universe
• Solar system effects in Schwarzschild--de Sitter spacetime
• Massive quasi-normal mode
• A point mass in an isotropic universe. Existence, uniqueness and basic properties
• Influence of the relict cosmological constant on accretion discs
• Equatorial circular orbits in the Kerr-de Sitter spacetimes
• Quasi normal modes in Schwarzschild-DeSitter spacetime: A simple derivation of the level spacing of the frequencies
• On the influence of the cosmological constant on gravitational lensing in small systems
• Precise relativistic orbits in Kerr and Kerr-(anti) de Sitter spacetimes
• Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr-de Sitter black hole spacetimes
• Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter Black Hole: Scalar Radiation
• More on McVittie's Legacy: A Schwarzschild - de Sitter black and white hole embedded in an asymptotically $\Lambda$CDM cosmology
• The effect of a massive object on an expanding universe
• General relativistic polytropes with a repulsive cosmological constant
• Dynamics of thick discs around Schwarzschild-de Sitter black holes
• Equatorial photon motion in the Kerr-Newman spacetimes with a non-zero cosmological constant
• Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
• Frame dragging and bending of Light in Kerr and Kerr-(anti) de Sitter spacetimes
• Field propagation in de Sitter black holes
• Pseudo-Newtonian and general relativistic barotropic tori in Schwarzschild-de Sitter spacetimes
• High overtones of Schwarzschild-de-Sitter quasinormal spectrum
• The large-mass limit of cloudy black holes
• Pseudo-Newtonian gravitational potential for Schwarzschild-de Sitter spacetimes
• The bending of light and the cosmological constant
• Turnaround radius in an accelerated universe with quasi-local mass
• Can all cosmological observations be accurately interpreted with a unique geometry?
• How the expansion of the universe determines the causal structure of McVittie spacetimes
• Numerical analysis of quasinormal modes in nearly extremal Schwarzschild-de Sitter spacetimes
• Particle and photon orbits in McVittie spacetimes
• A two-mass expanding exact space-time solution
• Quasinormal modes for the SdS black hole : an analytical approximation scheme
• Cosmological constant and time delay
• Generalized Swiss-cheese cosmologies: Mass scales
• Slowly decaying resonances of charged massive scalar fields in the Reissner-Nordström black-hole spacetime
• Properties of the Reissner-Nordström Spacetimes with a Nonzero Cosmological Constant

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• Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure
• Massive nonminimally coupled scalar field in Reissner-Nordström spacetime: Long-lived quasinormal modes and instability
• Scalar perturbations and quasi-normal modes of a non-linear magnetic-charged black hole surrounded by quintessence
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• The longlived charged massive scalar field in the higher-dimensional Reissner--Nordström spacetime
• Quasinormal modes of magnetized black hole
• Motion of spinning particles in non asymptotically flat spacetimes
• Dynamical instability of polytropic spheres in spacetimes with a cosmological constant
• The instability spectra of near-extremal Reissner-Nordström-de Sitter black holes
• Quasibound state reminiscent in de-Sitter black holes: Quasinormal modes and the decay of massive fields
• Instability of de-Sitter black hole with massive scalar field coupled to Gauss-Bonnet invariant and the scalarized black holes
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole