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

Understand

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.