Entanglement Entropy in Horndeski Gravity

Understand

In this work, we explore the holographic entanglement entropy with an infinite strip region of the boundary in Horndeski gravity.

• In our prescription we consider the spherically and planar topologies black holes in the AdS$_{4}$/CFT$_{3}$ scenario.
• In such framework, we show the behavior of the entanglement entropy in function of the Horndeski parameters.
• Such parameters modify the information store of subsystem A, especially when the parameter $\gamma$ increases the information about the subsystem will also increase or decrease when it decreases.