Echoes of the gravitational decoupling: scalar perturbations and quasinormal modes of hairy black holes

Abstract

The behavior of hairy black hole solutions, obtained by the gravitational decoupling (GD) method, is investigated under scalar perturbations. The quasinormal mode frequencies of such solutions are regulated by GD hair. The numerically generated wave solutions are derived for a range of values for the GD hairy black hole parameters, with higher-frequency modes very sensitive to them. The results are confronted with the corresponding ones for the Schwarzschild solution, whose deviations from it demonstrate a unique physical identification of GD hairy black holes. The method here presented comprises the first steps towards the obtainment of the observable signature of GD hairy black holes at ground-based detectors, emitted from coalescing binary systems of GD hairy black hole mergers in the ringdown phase.

Probing hairy black holes caused by gravitational decoupling using quasinormal modes and greybody bounds

“…We expect our results to provide some direction for observing hairy black holes by gravitational decoupling in future experiments. As our work was nearing completion, we discovered an extremely valuable and similar work [40]. But we believe our work still has importance for gravitational decoupling theory.…”

Gravitational decoupling for hairy black holes in asymptotic AdS spacetimes*

“…On the other hand, entanglement entropy is a versatile tool and may provide us with new insights into a rich variety of physical phenomena, ranging from the confining phase of large-N gauge theories [63] to topological phases in condensed matter systems [64] and tachyon condensation [65] in light of the AdS/CFT correspondence. Ryu and Takayanagi [66,67] proposed a holographic description of entanglement entropy in quantum (conformal) field theories via the AdS /CFT correspondence and computed entanglement entropy at finite temperature employing AdS black hole geometry. It is worth discussing HEE for the hairy AdS black holes obtained using the EGD approach.…”

Gravitational decoupling for hairy black holes in asymptotically AdS spacetimes

“…In addition, the scalar perturbations of gravitational decoupling hairy black hole solutions are investigated and discussed in Ref. [12], which includes an analysis of the role played on quasinormal modes and stability of black hole by the gravitational decoupling hair parameters. Let g µν be any metric, and after calculating its Einstein tensor G µν , g µν can be regarded as the metric corresponding to the dynamic tensor…”