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

@article{Shinohara2021DivergenceEA, title={Divergence equations and uniqueness theorem of static spacetimes with conformal scalar hair}, author={Takeshi Shinohara and Yoshimune Tomikawa and Keisuke Izumi and Tetsuya Shiromizu}, journal={Progress of Theoretical and Experimental Physics}, year={2021} }

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.

## One Citation

### Uniqueness of static spacetime with conformal scalar in higher dimensions

- MathematicsPhysical Review D
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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…

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