Equilibrium Configuration of Black Holes and the Inverse Scattering Method
G. G. Varzugin
TL;DR
This paper applies the inverse scattering method to analyze equilibrium configurations of axially symmetric, stationary black holes, establishing that such solutions with disconnected horizons are within the Belinskii-Zakharov class and deriving related angular momentum and velocity relationships.
Contribution
It demonstrates that all axially symmetric, stationary black hole solutions with disconnected horizons are Belinskii-Zakharov solutions and derives key relationships between their angular properties.
Findings
Connected to Belinskii-Zakharov solutions
Derived relationships between angular momentum and velocity
Characterized equilibrium configurations of black holes
Abstract
The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the Einstein equations with disconnected event horizon must belong to the class of Belinskii-Zakharov solutions. Relationships between the angular momenta and angular velocities of black holes are derived.
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