Remarks on the mass-angular momentum relations for two extreme Kerr sources in equilibrium
arXiv:1010.0697 · doi:10.1103/PhysRevD.82.124042 10.1103/PhysRevD.83.129902
Abstract
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.
11 pages, 4 figures
References in corpus (1)
Cited by in corpus (6)
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- Stationary configurations of two extreme black holes obtainable from the Kinnersley-Chitre solution
- Metric of two balancing Kerr particles in physical parametrization