Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-10-04
Phys.Rev.D82:124042,2010; Erratum-ibid.D83:129902,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 4 figures
Scientific paper
10.1103/PhysRevD.82.124042 10.11
The general analysis of the relations between masses and angular momenta in the configurations composed of two balancing extremal Kerr particles is made on the basis of two exact solutions arising as extreme limits of the well-known double-Kerr spacetime. We show that the inequality M^2 >= |J| characteristic of an isolated Kerr black hole is verified by all the extremal components of the Tomimatsu and Dietz-Hoenselaers solutions. At the same time, the inequality can be violated by the total masses and total angular momenta of these binary systems, and we identify all the cases when such violation occurs.
Cabrera-Munguia Ivan
Manko Vladimir S.
Ruiz Eduardo
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