Conformal Weyl gravity via two stages of quasinormal ringing and late-time behavior

Abstract

Black hole (BH) solution in the conformal Weyl gravity is a generalization of the Schwarzschild spacetime which includes two additional constants appearing when integrating the third order differential equations for gravitational field. One constant looks like the effective cosmological constant providing the de Sitter asymptotic of the solution. The other constant allows one to describe flat rotation of galaxies without introducing of the dark matter. Here we show that the effective "dark matter" term in the metric function drastically changes the asymptotic behavior of the evolution of the wave function of a scalar field: after the Schwarzschild-like ringing phase, the ringing at another, non-Schwarzschildian, longer-lived frequency takes place before the beginning of the exponential asymptotic tail. Thus the evolution of the scalar field consists of the three qualitatively different stages: the Schwarzschild-like ringing phase, the effective dark matter ringing phase and the de Sitter phase characterized by exponential tails. The late time behavior of the electromagnetic field is qualitatively different as well: the exponential tails appear even in the absence of the effective de Sitter term.

7 pages, 4 figures, revtex, the version to match the published one

References in corpus (16)

• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Tests for the existence of horizons through gravitational wave echoes
• Quasinormal modes, scattering and Hawking radiation in the vicinity of Einstein-dilaton-Gauss-Bonnet black hole
• Circular orbit of a particle and weak gravitational lensing
• Instability of higher dimensional charged black holes in the de-Sitter world
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Arbitrarily long-lived quasinormal modes in a wormhole background
• Charged scalar field instability between the event and cosmological horizons
• Late time tails of the massive vector field in a black hole background
• Gravitational lens without asymptotic flatness: Its application to the Weyl gravity
• The Decay of Dirac Hair around a Dilaton Black Hole
• Decay of massive hair on brane black hole
• Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability
• Classical tests on a charged Weyl black hole: bending of light, Shapiro delay and Sagnac effect
• Evolution of Massive Scalar Fields in the Spacetime of a Tense Brane Black Hole
• Quasi-normal Modes and Thermal Fluctuations of Charged Black Hole with Weyl Corrections

Cited by in corpus (11)

• Black holes in galactic centers: quasinormal ringing, grey-body factors and Unruh temperature
• Long-lived Quasinormal Modes and Gray-Body Factors of black holes and wormholes in dark matter inspired Weyl Gravity
• Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity
• Quasinormal Ringing and Shadows of Black Holes and Wormholes in Dark Matter-Inspired Weyl Gravity
• Quasinormal modes and Hawking radiation of a charged Weyl black hole
• How general is the strong cosmic censorship bound for quasinormal modes?
• Ringing and echoes from black bounces surrounded by the string cloud
• Proper-Time Approach in Asymptotic Safety via Black Hole Quasinormal Modes and Grey-body Factors
• Quasinormal modes of the Bardeen black hole with a cloud of strings
• Chaotic dynamics of string around the conformal black hole
• Overtones behavior of higher dimensional black holes in the Einstein-Gauss-Bonnet gravity