Divergence equations and uniqueness theorem of static spacetimes with conformal scalar hair

Abstract

We reexamine the Israel-type proof of the uniqueness theorem of the static spacetime outside the photon surface in the Einstein-conformal scalar system. We derive in a systematic fashion a new divergence identity which plays a key role in the proof. Our divergence identity includes three parameters, allowing us to give a new proof of the uniqueness.

arXiv comment8pages

References in corpus (5)

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Cited by in corpus (1)

• On uniqueness of static spacetime with conformal scalar in higher dimensions