2009/04/14 by Jörg Hennig, Marcus Ansorg · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1007/s00023-009-0012-0
published as Annales Henri Poincare 10:1075-1095,2009 · 21 pages, 1 figure
arxiv created 2009/04/14 · openalex publication_date 2009/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We use soliton methods in order to investigate the interior electrovacuum region of axisymmetric and stationary, electrically charged black holes with arbitrary surrounding matter in Einstein–Maxwell theory. These methods can be applied since the Einstein–Maxwell vacuum equations permit the formulation in terms of the integrability condition of an associated linear matrix problem. We find that there always exists a regular inner Cauchy horizon inside the black hole, provided the angular momentum J and charge Q of the black hole do not vanish simultaneously. Moreover, the soliton methods provide us with an explicit relation for the metric on the inner Cauchy horizon in terms of that on the event horizon. In addition, our analysis reveals the remarkable universal relation (8πJ)2 + (4πQ 2)2 = A + A −, where A + and A − denote the areas of event and inner Cauchy horizon, respectively.