“…As expected, the majority of analytical solutions for compact objects in Horndeski theories have been obtained within the subclass of theories that enjoy parity symmetry ϕ → −ϕ and/or shift symmetry ϕ → ϕ + cst [54,[67][68][69][70][71][72][73][74]. However, under physical grounds there are no compelling reasons to restrict ourselves to theories with such symmetries, and in consequence, this freedom opens the possibility to explore spacetime geometries with quite different properties than GR [75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92]. In this scenario, there is a potential risk of dealing with much more involved field equations, precluding the existence of analytical solutions.…”