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

SERGIO DAIN; OMAR ORTIZ

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Año: 2009 vol. 80 p. 24045 - 2404516

0556-2821

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.