Uniqueness of static spacetime with conformal scalar in higher dimensions
2021
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.
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