On uniqueness of static black hole with conformal scalar hair

Abstract

We discuss the uniqueness of the static black hole in the Einstein gravity with a conformally coupled scalar field. In particular, we prove the uniqueness of the region outside of the photon surface, not event horizon.

7 pages, some comments added, accepted for publication in PTEP

Cited by in corpus (1)

• Classification of static asymptotically flat spacetimes with a photon sphere in Einstein-multiple-scalar field theory