Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hairy black holes in DHOST theories: Exploring disformal transformation
  as a solution-generating method   Solutions-generating methods based on field redefinitions, such as conformal
mapping, play an important role in investigating exact solutions in modified
gravity. In this work, we explore the possibility to use disformal field
redefinitions to investigate new regions of the solution space of DHOST
theories. The crucial ingredient is to find suitable seed solutions to generate
new exact ones for DHOST theories. We first consider a seed solution of the
Einstein-Scalar system describing a naked singularity. Under suitable
assumptions, we derive a no-go result showing that no black hole solution can
be constructed from such a seed GR solution. Then, taking into account the
stability of each degeneracy classes of quadratic DHOST theories under a
general disformal mapping, we consider two kinds of known black hole solutions
as seed configurations: the Schwarzschild stealth solution and the non-stealth
Reissner-Nordstrom like solution. Restricting our considerations to invertible
disformal transformations, we show that building new hairy black hole solutions
from the stealth solution associated to a constant kinetic term is also quite
constrained. We obtain new solutions which either are stealth or describe
asymptotically locally flat black holes with a deficit solid angle. However,
starting from the non-stealth seed solution associated to a non constant
kinetic term as well as a time-dependent scalar profile, we show that a
disformal transformation can introduce rather general modifications of the
exterior geometry. Finally, we consider the construction of minimally modified
hairy black hole solutions using a small disformal transformation. Further
applications of this solution generating method should allow to provide new
hairy rotating black hole solutions beyond the stealth sector useful for
phenomenological investigations of compact objects beyond GR.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con