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Uniqueness of static spacetime with conformal scalar in higher dimensions

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 $S_p$ …