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arXiv · 1702.05682

On uniqueness of static spacetimes with non-trivial conformal scalar field

Yoshimune Tomikawa·Tetsuya Shiromizu·Keisuke Izumi
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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.

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Yoshimune Tomikawa, Tetsuya Shiromizu, Keisuke Izumi. 2017-02-19. On uniqueness of static spacetimes with non-trivial conformal scalar field. https://doi.org/10.1088/1361-6382/aa7906

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