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.
Possible connection between the reflection symmetry and existence of equatorial circular orbit
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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.