The extreme orbital period in scalar hairy kerr black holes
arXiv:1901.02601 · doi:10.1016/j.physletb.2019.03.022
Abstract
In a very interesting paper, Hod has proven that the equatorial null circular geodesic provides the extreme orbital period 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 show that the circle with the extreme orbital period is still identical to the null circular geodesic. Our analysis also implies that the Hod's theorem may be a general property in any axially symmetric spacetime with reflection symmetry on the equatorial plane.
7 pages
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Cited by in corpus (8)
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- Lower bound on the radii of black-hole photonspheres
- Extremal black holes have external light rings
- Upper bound on the radii of regular ultra-compact star photonspheres
- No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
- No-short scalar hair theorem for spinning acoustic black holes in a photon-fluid model
- Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
- No short hair behaviors of ultra-compact stars