2009/06/14 by Antonio C. Gutiérrez-Piñeres, Gutiérrez-Piñeres, Antonio C., Guillermo González +4
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #gr-qc
paper · pdf · doi:10.48550/arxiv.0906.2557
11 pages, 3 figures
arxiv created 2009/06/14 · openalex publication_date 2009/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric spacetimes is presented. The metric functions of the solutions are explicitely computed and are simply written in terms of the oblate spheroidal coordinates. The solutions, obtained by applying the Ernst method of complex potentials, describe an infinite family of static charged dust disks with an inner edge. The energy density, pressure and charge density of all the disks of the family are everywhere well behaved, in such a way that the energy-momentum tensor fully agrees with all the energy conditions.