Stationary configurations of two extreme black holes obtainable from the Kinnersley-Chitre solution

Abstract

Stationary axisymmetric systems of two extreme Kerr sources separated by a massless strut, which arise as subfamilies of the well-known Kinnersley-Chitre solution, are studied. We present explicit analytical formulas for the individual masses and angular momenta of the constituents and establish the range of the parameters for which such systems can be regarded as describing black holes. The mass-angular momentum relations and the interaction force in the black-hole configurations are also analyzed. Furthermore, we construct a charging generalization of the Kinnersley-Chitre metric and, as applications of the general formulas obtained, discuss two special cases describing a pair of identical co- and counterrotating extreme Kerr-Newman black holes kept apart by a conical singularity. From our analysis it follows in particular that the equality $m^2-a^2-e^2=0$ relating the mass, angular momentum per unit mass and electric charge of a single Kerr-Newman extreme black hole is no longer verified by the analogous extreme black-hole constituents in binary configurations.

final version revised according to referee's suggestions

References in corpus (5)

• Dynamical and Thermodynamical Aspects of Interacting Kerr Black Holes
• Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes
• Exact solution for the simplest binary system of Kerr black holes
• On a Simple Representation of the Kinnersley-Chitre Metric
• Remarks on the mass-angular momentum relations for two extreme Kerr sources in equilibrium

Cited by in corpus (8)

• Geometric inequalities for axially symmetric black holes
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• The Breton-Manko equatorially antisymmetric binary configuration revisited
• Exact solution for a binary system of unequal counter-rotating black holes
• Singularities in the Kerr-Newman and charged $\delta =2$ Tomimatsu-Sato spacetimes endowed with negative mass
• Periodic analogues of the Kerr solutions: a numerical study
• Generalized Near Horizon Extreme Binary Black Hole Geometry
• Binary systems of recoiling extreme Kerr black holes