Static Spacetimes of Constant Scalar Curvature of Einstein-Maxwell-Higgs Theory in d ≥ 4 Dimensions

In this paper we consider a class of static spacetimes which can be viewed as the solution of d-dimensional Einstein-Maxwell-Higgs theory with d > 4 in which it consists of a gravity coupled to some Abelian vector fields and real scalar fields with vanishing scalar potential. Taking d is simply even and in order to get a consistent theory, the d - 2-dimensional submanifold has to be Einstein with constant A(d-2). Furthermore, if we freeze the scalar fields in particular regions, then we have a static spacetime whose metric depends on A(d-2) and Ricci scalar is constant. These generalize our previous results in static domain walls and black holes in four dimensions.