On uniqueness of static spacetime with conformal scalar in higher dimensions

Abstract

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.

9 pages

References in corpus (2)

• Static spacetimes haunted by a phantom scalar field: classification and global structure in the massless case
• Divergence equations and uniqueness theorem of static spacetimes with conformal scalar hair