On uniqueness of static spacetimes with non-trivial conformal scalar field

Abstract

We discuss the uniqueness of the static spacetimes with non-trivial conformal scalar field. Then, we can show that the spacetime is unique to be the Bocharova-Bronnikov-Melnikov-Bekenstein solution outside the surface composed of the unstable circular orbit of photon(photon surface). In addition, we see that multi-photon surfaces having the same scalar field values do not exist.

6 pages, references added, introduction and discussion improved

References in corpus (1)

• Uniqueness of static photon surfaces: Perturbative approach

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