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. 
1 Citations

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