Divergence equations and uniqueness theorem of static spacetimes with conformal scalar hair. (20th August 2021)

• Record Type: Journal Article
• Authors: Shinohara, Takeshi; Tomikawa, Yoshimune; Izumi, Keisuke; Shiromizu, Tetsuya
• Is Part Of: Progress of theoretical and experimental physics. Volume 2021:Number 9(2021)
• Publication Date: 2021-08-20
• Subjects: E01; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptab107
• Languages: English
• ISSNs: 2050-3911

Abstract

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.