Divergence equations and uniqueness theorem of static spacetimes with conformal scalar hair
High Energy Physics - Theory
2021-09-15 v1 General Relativity and Quantum Cosmology
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.
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Cite
@article{arxiv.2107.13133,
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= {arXiv preprint arXiv:2107.13133},
year = {2021}
}
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8pages