1999/06/30 by Daisuke Ida · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Statistical Mechanics and Entropy #gr-qc
paper · pdf · doi:10.1143/ptp.103.573
published as Prog.Theor.Phys. 103 (2000) 573 · 7 pages, no figures
openalex publication_date 2000/03/01 · arxiv created 2000/04/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Static charged perfect fluid distributions are studied. It is shown that if the norm of the timelike Killing vector and the electrostatic potential satisfy the Weyl-Majumdar relation, then the background spatial metric is the space of constant curvature, and the field equations reduce to a single non-linear partial differential equation. Furthermore, if a linear equation of state for the fluid is assumed, then this equation becomes a Helmholtz equation on the space of constant curvature. Some explicit solutions are given.