For the Teo-Wan two-black-hole spacetime, light rings merge and annihilate in pairs, giving total counts of 4, 6, or 8, and the shadows mimic double-Kerr.
Stationary two-black-hole configurations: A non-existence proof
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abstract
Based on the solution of a boundary problem for disconnected (Killing) horizons and the resulting violation of characteristic black hole properties, we present a non-existence proof for equilibrium configurations consisting of two aligned rotating black holes. Our discussion is principally aimed at developing the ideas of the proof and summarizing the results of two preceding papers (Neugebauer and Hennig, 2009 [29], Hennig and Neugebauer, 2011 [12]). From a mathematical point of view, this paper is a further example (Meinel et al., 2008 [22]) for the application of the inverse ("scattering") method to a non-linear elliptic differential equation.
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Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows
For the Teo-Wan two-black-hole spacetime, light rings merge and annihilate in pairs, giving total counts of 4, 6, or 8, and the shadows mimic double-Kerr.