In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
Thick toroidal configurations around scalarized Kerr black holes
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Equatorial asymmetry in black hole spacetimes twists thick tori, displacing their centers and cusps away from the equatorial plane in the same direction as Keplerian orbits.
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Topological charge and black hole photon spheres in massive gravity
In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
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Twisted doughnuts: Thick disk torus around equatorial asymmetric black hole
Equatorial asymmetry in black hole spacetimes twists thick tori, displacing their centers and cusps away from the equatorial plane in the same direction as Keplerian orbits.