# Horndeski Gravity and the Violation of Reverse Isoperimetric Inequality

## TL;DR

This paper explores Einstein-Horndeski-Maxwell gravity with axions, constructing charged AdS black holes and demonstrating that they can violate the reverse isoperimetric inequality, thus storing information more efficiently.

## Contribution

It introduces new charged AdS black hole solutions in Horndeski gravity with axions and analyzes their thermodynamics, revealing violations of the reverse isoperimetric inequality.

## Key findings

- Black holes constructed in Horndeski gravity can violate the reverse isoperimetric inequality.
- These black holes can store information more efficiently than Schwarzschild black holes.
- The thermodynamic properties of these black holes are thoroughly analyzed.

## Abstract

We consider Einstein-Horndeski-Maxwell gravity, together with a cosmological constant and multiple Horndeski axions. We construct charged AdS planar black holes in general dimensions where the Horndeski anxions span over the planar directions. We analyse the thermodynamics and obtain the black hole volumes. We show that the reverse isoperimetric inequality can be violated, implying that these black holes can store information more efficiently than the Schwarzschild black hole.