Axionic black branes in the k-essence sector of the Horndeski model

Understand

We construct new black brane solutions in the context of Horndeski gravity, in particular in its K-essence sector.

• These models are supported by axion scalar fields that depend only on the horizon coordinates.
• The dynamics of these fields is determined by a K-essence term that includes the standard kinetic term $X$ and a correction of the form $X^{k}$.
• We find both neutral and charged exact and analytic solutions in $D$-dimensions, which are asymptotically anti de Sitter.