Uniqueness of static spacetime with conformal scalar in higher dimensions

We discuss the uniqueness of asymptotically flat and static spacetimes in the n-dimensional Einstein-conformal scalar system. This theory potentially has a singular point in the field equations where the effective Newton constant diverges. We will show that the static spacetime with the conformal scalar field outside a certain surface S-p associated with the singular point is unique.

Automated summary

In this paper, we discuss the uniqueness of asymptotically flat and static spacetimes in the n-dimensional Einstein-conformal scalar system, pointing out a potential singularity in the field equations and the corresponding uniqueness result outside a certain surface associated with the singular point.