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A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter

2007/08/31 by Marcus Ansorg, Herbert Pfister · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/3/035009

published as Class.Quant.Grav.25:035009,2008 · 19 pages, 2 figures, replaced with published version

openalex publication_date 2008/01/22 · arxiv created 2008/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We consider stationary, axially and equatorially symmetric systems consisting of a central rotating and charged degenerate black hole and surrounding matter. We show that a 2 + Q 2 = M 2 always holds provided that a continuous sequence of spacetimes can be identified, leading from the Kerr–Newman solution in electrovacuum to the solution in question. The quantity a = J / M is the black hole's intrinsic angular momentum per unit mass, Q its electric charge and M is the well-known black hole mass parameter introduced by Christodoulou and Ruffini.

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