Bounds on the force between black holes

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.

13 pages, no figures

References in corpus (5)

• Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum
• Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass
• The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles
• Analogs of the double-Reissner-Nordstrom solution in magnetostatics and dilaton gravity: mathematical description and some physical properties
• Exact solution for the simplest binary system of Kerr black holes

Cited by in corpus (10)

• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Geometric inequalities for black holes
• Stationary black diholes
• The Breton-Manko equatorially antisymmetric binary configuration revisited
• Opposite charged two-body system of identical counter-rotating black holes
• Binary system of unequal counterrotating Kerr-Newman sources
• Corotating dyonic binary black holes
• Geodesic motion in a stationary dihole spacetime
• Avenues for Analytic exploration in Axisymmetric Spacetimes. Foundations and the Triad Formalism
• Extreme binary black holes in a physical representation