Göttingen 2012 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 7: Schwarze Löcher – Lösungen II

GR 7.2: Talk

Tuesday, February 28, 2012, 15:50–16:10, ZHG 002

Two-body equilibrium configurations involving one extreme black hole in the electrovacuum case — •Ivan Cabrera Munguia and Claus Lämmerzahl — ZARM, University Bremen, Germany

The present work fills in the final gap in the search and description of different equilibrium states in the two-body systems consisting of one extreme and one non-extreme components. In the 'extreme-non-extreme' case of charged spinning masses we obtain, by making use of an appropriate exact solution of the Einstein-Maxwell equations and solving numerically the corresponding balance equations, the first examples of the 'extreme-hyperextreme' equilibrium configurations characterized by positive Komar masses of both Kerr-Newman constituents. Furthermore, we demonstrate that equilibrium in the 'extreme-subextreme' stationary electrovac systems is also possible, but it requires negative mass of one of the constituents. In the electrostatic case which admits a purely analytic treatment we give a rigorous proof of the non-existence of the 'extreme-non-extreme' equilibrium configurations in the framework of the double-Reissner-Nordström solution. At the same time, the electrostatic equilibrium between an extreme and a subextreme black holes can be achieved in the uniform external field, provided the two constituents form a specific dihole with zero net charge and the mass of the subextreme black hole greater than that of the extreme one.