Bounds on the force between black holes

TL;DR

This paper derives theoretical bounds on the physical parameters, including force, of systems with multiple interacting axisymmetric black holes, linking mass, angular momentum, area, and inter-black hole forces.

Contribution

It introduces new relations among black hole parameters that constrain the force and other physical quantities in multi-black hole configurations.

Findings

Derived bounds on inter-black hole force and parameters.

Established relations linking mass, angular momentum, and area.

Provided theoretical constraints for axisymmetric black hole systems.

Abstract

We treat the problem of N interacting, axisymmetric black holes and obtain two relations among physical parameters of the system including the force between the black holes. The first relation involves the total mass, the angular momenta, the distances and the forces between the black holes. The second one relates the angular momentum and area of each black hole with the forces acting on it.