Primary black-hole scalar charges and kinetic screening in $K$-essence-Gauss-Bonnet gravity

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Primary black-hole scalar charges and kinetic screening in $K$-essence-Gauss-Bonnet gravity

Authors

Guillermo Lara, Georg Trenkler, Leonardo G. Trombetta

Abstract

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.

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