Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Echoes of the gravitational decoupling: scalar perturbations and
  quasinormal modes of hairy black holes   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.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg