Planar AdS black holes in Lovelock gravity with a nonminimal scalar field

Understand

In arbitrary dimension D, we consider a self-interacting scalar field nonminimally coupled with a gravity theory given by a particular Lovelock action indexed by an integer k.

• To be more precise, the coefficients appearing in the Lovelock expansion are fixed by requiring the theory to have a unique AdS vacuum with a fixed value of the cosmological constant.
• This yields to k=1,2,...,[(D-1)/2] inequivalent possible gravity theories; here the case k=1 corresponds to the standard Einstein-Hilbert Lagrangian.
• For each par (D,k), we derive two classes of AdS black hole solutions with planar event horizon topology for particular values of the nonminimal coupling parameter.