@Article{Creminelli_etal2020,
author="Creminelli, P.
and Loayza, N.
and Serra, F.
and Trincherini, E.
and Trombetta, L. G.",
title="Hairy black-holes in shift-symmetric theories",
journal="Journal of High Energy Physics",
year="2020",
publisher="Springer",
volume="08",
number="8",
pages="045--24pp",
optkeywords="Black Holes; Classical Theories of Gravity",
abstract="Scalar hair of black holes in theories with a shift symmetry are constrained by the no-hair theorem of Hui and Nicolis, assuming spherical symmetry, time-independence of the scalar field and asymptotic flatness. The most studied counterexample is a linear coupling of the scalar with the Gauss-Bonnet invariant. However, in this case the norm of the shift-symmetry current J(2) diverges at the horizon casting doubts on whether the solution is physically sound. We show that this is not an issue since J(2) is not a scalar quantity, since J(mu) is not a diffinvariant current in the presence of Gauss-Bonnet. The same theory can be written in Horndeski form with a non-analytic function G(5)similar to log X . In this case the shift-symmetry current is diff-invariant, but contains powers of X in the denominator, so that its divergence at the horizon is again immaterial. We confirm that other hairy solutions in the presence of non-analytic Horndeski functions are pathological, featuring divergences of physical quantities as soon as one departs from time-independence and spherical symmetry. We generalise the no-hair theorem to Beyond Horndeski and DHOST theories, showing that the coupling with Gauss-Bonnet is necessary to have hair.",
optnote="WOS:000562728200001",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4515), last updated on Wed, 09 Sep 2020 08:48:46 +0000",
issn="1029-8479",
doi="10.1007/JHEP08(2020)045",
opturl="https://arxiv.org/abs/2004.02893",
opturl="https://doi.org/10.1007/JHEP08(2020)045",
language="English"
}