Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes

Abstract

We present numerical evidences for the validity of the inequality between the total mass and the total angular momentum for multiple axially symmetric (non-stationary) black holes. We use a parabolic heat flow to solve numerically the stationary axially symmetric Einstein equations. As a by product our method, we also give numerical evidences that there are no regular solutions of Einstein equations that describe two extreme, axially symmetric black holes in equilibrium.

16 pages, 10 figures

References in corpus (2)

• Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum
• The inequality between mass and angular momentum for axially symmetric black holes

Cited by in corpus (14)

• Mass and Angular Momentum in General Relativity
• Geometric inequalities for axially symmetric black holes
• A Dain Inequality with charge
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Geometric inequalities for black holes
• Bounds on the force between black holes
• The Breton-Manko equatorially antisymmetric binary configuration revisited
• Stationary configurations of two extreme black holes obtainable from the Kinnersley-Chitre solution
• Falloff of the Weyl scalars in binary black hole spacetimes
• Remarks on the mass-angular momentum relations for two extreme Kerr sources in equilibrium
• Binary system of unequal counterrotating Kerr-Newman sources
• Black hole-naked singularity dualism and the repulsion of two Kerr black holes due to spin-spin interaction
• Periodic analogues of the Kerr solutions: a numerical study
• Binary systems of recoiling extreme Kerr black holes