The shortest orbital period in scalar hairy kerr black holes.
In a very interesting paper, Hod has proven that the equatorial null circular geodesic provides the fastest way to circle a kerr black hole, which is closely related to the Fermat's principle. In the present paper, we extend the discussion to kerr black holes with scalar field hair. We consider matter fields' backreaction on the metric and analytically show that the circle with the shortest orbital period is identical to the null circular geodesic. Our analysis also implies that the Hod's theorem may be a general property in the axially symmetric curved spacetime.
Publisher URL: http://arxiv.org/abs/1901.02601
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