Black holes beyond General Relativity may carry non-standard charges that impact their phenomenology. We study how the scalar charge that is induced by the scalar-Gauss-Bonnet coupling is affected by the presence of a nontrivial kinetic term K(X). We discuss the corresponding kinetic screening in the asymptotically flat, static solution first. We then turn to the case where self-accelerating cosmology is driven by K(X), finding that the time-dependence of the scalar field opens up the parameter space, turning the black-hole scalar charge from secondary to primary. We provide a stability analysis and a measure of the intensity of the kinetic screening from the quartic dispersion relation of the mixed scalar and gravitational modes.
@article{arxiv.2512.23683,
title = {Primary black-hole scalar charges and kinetic screening in $K$-essence-Gauss-Bonnet gravity},
author = {Guillermo Lara and Georg Trenkler and Leonardo G. Trombetta},
journal= {arXiv preprint arXiv:2512.23683},
year = {2025}
}