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Remarks on the mass-angular momentum relations for two extreme Kerr sources in equilibrium

I. Cabrera-Munguia¹, V. S. Manko¹, and E. Ruiz²

¹Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, A.P. 14-740, 07000 México D.F., Mexico
²Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37008 Salamanca, Spain

Phys. Rev. D 82, 124042 – Published 20 December, 2010Erratum Phys. Rev. D 83, 129902 (2011)

DOI: https://doi.org/10.1103/PhysRevD.82.124042

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 $M^{2} \geq | J |$ 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.

Erratum

Erratum: Remarks on the mass-angular momentum relations for two extreme Kerr sources in equilibrium [Phys. Rev. D 82, 124042 (2010)]

I. Cabrera-Munguia, V. S. Manko, and E. Ruiz

Phys. Rev. D 83, 129902 (2011)

Article Text

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