期刊
PHYSICAL REVIEW LETTERS
卷 124, 期 18, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.124.181101
关键词
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资金
- Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [UIDB/04106/2020, UIDP/04106/2020]
- European Union's Horizon 2020 research and innovation (RISE) programme H2020-MSCA-RISE-2017 Grant [FunFiCO-777740]
- Max Planck Gesellschaft through the Gravitation and Black Hole Theory Independent Research Group
- COST Action [CA16104]
- [PTDC/FIS-OUT/28407/2017]
- [CERN/FIS-PAR/0027/2019]
- Fundação para a Ciência e a Tecnologia [CERN/FIS-PAR/0027/2019] Funding Source: FCT
The ringdown and shadow of the astrophysically significant Kerr black hole (BH) are both intimately connected to a special set of bound null orbits known as light rings (LRs). Does it hold that a generic equilibrium BH must possess such orbits? In this Letter we prove the following theorem. A stationary, axisymmetric, asymptotically flat black hole spacetime in 1 + 3 dimensions, with a nonextremal, topologically spherical, Killing horizon admits, at least, one standard LR outside the horizon for each rotation sense. The proof relies on a topological argument and assumes C-2 smoothness and circularity, but makes no use of the field equations. The argument is also adapted to recover a previous theorem establishing that a horizonless ultracompact object must admit an even number of nondegenerate LRs, one of which is stable.
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