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

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

2009-05-05

arxiv.org/abs/0905.0708v1

Phys.Rev.D80:024045,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 10 figures

Scientific paper

10.1103/PhysRevD.80.024045

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.

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