An Exact Interior Extension of a Static Solution for an Electric Charged Ball

Abstract

We use the model approach to the description of spherical gravitating static fluid ball with an electric charge in general relativity. The metric is written in Bondi's coordinates. The total energy-momentum tensor (EMT) is chosen as a sum of the EMT of a Pascal perfect fluid and that of the electromagnetic field. An exact solution of the Einstein-Maxwell equations is found, extending a similar solution with parabolic mass density distribution.

2 pages, Proceedings of the 12th Russian Gravitational Conference, Kazan, 20-36 June 2005