2005/05/29 by José P. S. Lemos, Jose' P. S. Lemos, Vilson T. Zanchin · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.71.124021
published as Phys.Rev.D71:124021,2005 · 26 pages, no figures
arxiv created 2005/05/29 · openalex publication_date 2005/06/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The Newtonian theory of gravitation and electrostatics admits equilibrium configurations of charged fluids where the charge density can be equal to the mass density, in appropriate units. The general relativistic analog for charged dust stars was discovered by Majumdar and by Papapetrou. In the present work we consider Einstein-Maxwell solutions in d-dimensional spacetimes and show that there are Majumdar-Papapetrou type solutions for all d\ensuremath≥4. It is verified that the equilibrium is independent of the shape of the distribution of the charged matter. It is also showed that for perfect fluid solutions satisfying the Majumdar-Papapetrou condition with a boundary where the pressure is zero, the pressure vanishes everywhere, and that the (d\ensuremath-1)-dimensional spatial section of the spacetime is conformal to a Ricci-flat space. The Weyl d-dimensional axisymmetric solutions are generalized to include electric field and charged matter.