Two-body equilibrium configurations involving one extreme black hole: the electrovacuum case

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• 作者：I. Cabrera-Munguia (1) cabrera@zarm.uni-bremen.de <br>V. S. Manko (2) vsmanko@fis.cinvestav.mx <br>E. Ruiz (3) eruiz@usal.es <br>M. B. Sadovnikova (4)
• 关键词：Generating techniques – Ernst potentials – Extreme black hole
• 刊名：General Relativity and Gravitation
• 出版年：2012
• 出版时间：September 2012
• 年：2012
• 卷：44
• 期：9
• 页码：2373-2386
• 全文大小：229.8 KB
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• 作者单位：1. ZARM, Universit?t Bremen, Am Fallturm, 28359 Bremen, Germany2. Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, A.P. 14-740, 07000 México, D.F., Mexico3. Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37008 Salamanca, Spain4. Department of Quantum Statistics and Field Theory, Lomonosov Moscow State University, 119899 Moscow, Russia
• ISSN：1572-9532

文摘

The present paper 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 all particular equilibrium configurations of this type found by us involve 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–Nordstr?m 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.