Scalarization-like mechanism through spacetime anisotropic scaling symmetry

We present a new family of exact black hole configurations, which is solution to generalized Einstein-Maxwell-Dilaton setup in arbitrary dimension. These solutions are asymptotically Lifshitz for any dynamical critical exponent $z\ensuremath{\ge}1$. It turns out that the existence nontrivial scalar field direct consequence breaking spacetime isotropic scaling symmetry. This accepts various interesting limits link it well-known both and anisotropic cases. study thermodynamics these configurations showing first law satisfied providing corresponding Smarr formula, relations account an electric contribution. Furthermore, we show certain parameter region, configuration with nonzero thermodynamically preferred. observation, together verification so-called scalarization conditions, suggest emergence dilaton due mechanism similar spontaneous scalarization.