The double-Kerr equilibrium configurations involving one extreme object

Details The double-Kerr equilibrium configurations involving one extreme object The double-Kerr equilibrium configurations involving one extreme object

2005-08-25

arxiv.org/abs/gr-qc/0508101v1

Class.Quant.Grav. 22 (2005) 4887-4894

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 3 figures, submitted to Class. Quantum Grav

Scientific paper

10.1088/0264-9381/22/22/013

We demonstrate the existence of equilibrium states in the limiting cases of the double-Kerr solution when one of the constituents is an extreme object. In the `extreme-subextreme' case the negative mass of one of the constituents is required for the balance, whereas in the `extreme-superextreme' equilibrium configurations both Kerr particles may have positive masses. We also show that the well-known relation |J|=M^2 between the mass and angular momentum in the extreme single Kerr solution ceases to be a characteristic property of the extreme Kerr particle in a binary system.

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