On uniqueness of static spacetimes with non-trivial conformal scalar field
General Relativity and Quantum Cosmology
2017-07-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We discuss the uniqueness of the static spacetimes with non-trivial conformal scalar field. Then, we can show that the spacetime is unique to be the Bocharova-Bronnikov-Melnikov-Bekenstein solution outside the surface composed of the unstable circular orbit of photon(photon surface). In addition, we see that multi-photon surfaces having the same scalar field values do not exist.
Keywords
Cite
@article{arxiv.1702.05682,
title = {On uniqueness of static spacetimes with non-trivial conformal scalar field},
author = {Yoshimune Tomikawa and Tetsuya Shiromizu and Keisuke Izumi},
journal= {arXiv preprint arXiv:1702.05682},
year = {2017}
}
Comments
6 pages, references added, introduction and discussion improved