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  Stationary black holes and light rings

Cunha, P. V. P., & Herdeiro, C. A. R. (2020). Stationary black holes and light rings. Physical Review Letters, 124(18): 181101. doi:10.1103/PhysRevLett.124.181101.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-EA0A-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-72CD-3
Genre: Journal Article

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 Creators:
Cunha, Pedro V. P.1, Author              
Herdeiro, Carlos A. R., Author
Affiliations:
1Gravitation and Black Hole Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477691              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,High Energy Physics - Theory, hep-th
 Abstract: 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, axi-symmetric, asymptotically flat black hole spacetime in 1+3 dimensions, with a non-extremal, 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 ultra-compact object must admit an even number of non-degenerate LRs, one of which is stable.

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 Dates: 2020-03-132020
 Publication Status: Published in print
 Pages: 5 pages, 3 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 2003.06445
URI: http://arxiv.org/abs/2003.06445
DOI: 10.1103/PhysRevLett.124.181101
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 124 (18) Sequence Number: 181101 Start / End Page: - Identifier: -